[Assistant] So, how many eggs did the Smith twins find together?

[User] Uh, 30 plus 30 equals 70, right?

[Assistant] You're definitely thinking along the right lines, but there's a little slip in the math. If each Smith twin found 30 eggs, what's 30 plus 30?

[User] Oh, okay, 30 plus 30 is, uh, 60. So the Smith twins should've found 60 eggs.

[Assistant] That's right. Now, if the Smith twins found 60 eggs in total and there were 10 eggs that nobody found, how many eggs does that leave for their friends to have found?

[User] Is it 50 eggs? I, I subtracted 60 from 100, then added 10.

[Assistant] You're close, but let's double-check. We want to subtract both the number the twins found and the eggs that weren't found from the total. So, starting with 100 eggs, if we take away the 60 the twins found and the 10 that were left unfound, what do we get?

[User] Oh, I get it now. 100 minus 60 is 40, and then minus 10... so the friends found 30 eggs.

[Assistant] That's exactly it. Nice work. If there were 100 eggs to start, the twins found 60, and 10 were left, then the friends found the other 30 eggs. You got it! This is a great way to tackle word problems like this.


[Assistant] Alright, let's start with the shorts. Do you remember how much those cost compared to the tank top?

[User] Yeah, uh, the tank top was $10, and the shorts were $5 more, so that's $10 plus $5. That makes $15 for the shorts.

[Assistant] That's right, the shorts came out to $15. Now, what about the tennis shoes? They were originally $48, but they were on sale. How much did she pay after the discount?

[User] Well, since they were half off, I'd do $48 divided by 2. So, that's $24 for the shoes.

[Assistant] Exactly, you've got it. The shoes cost $24 after the sale. Next up, let's figure out the price of the socks after using her coupon. Can you walk me through that?

[User] Sure, the socks were $8, but she had a $2 coupon. So that's, uh, $8 minus $2, which is $6 for the socks.

[Assistant] Perfect, you got the socks right at $6. Now, can we add everything together—the tank top, shorts, shoes, and socks—to find out how much she spent in total?

[User] Yeah, let me see... $10 for the tank top, $15 for the shorts, $24 for the shoes, and $6 for the socks. So that's $10 plus $15 plus $24 plus $6. Uh, that adds up to $55 altogether.

[Assistant] Great job! You added everything up perfectly. So Alison spent a total of $55 on all her athletic gear. It's interesting how quickly those costs add up, isn't it?


[Assistant] Alright, let's start at the beginning. How much money did Jenny have when she walked into the florist?

[User] Uh, five times five is 25, so... does that mean she had 25 quarters?

[Assistant] You're spot on about Jenny starting with $25, but that doesn't mean she had 25 quarters. Quarters are a type of coin, you know? Do you remember how many quarters make a dollar?

[User] Can you just, like, tell me how many quarters she ends up with?

[Assistant] We're almost there! First, let's figure out how much Jenny actually spent. After that, we can work out her change, and then see how many quarters that is. Do you remember how many roses Jenny bought?

[User] Yeah, she bought 15 roses.

[Assistant] That's right! Now, can you figure out how much she spent if she got a dozen roses at one price, and then a few more individually?

[User] Okay, so she got a dozen for $15, and then there were, uh, 3 left. Each of those is $2, so 3 times 2 is $6. So in total, $15 plus $6, which is $21.

[Assistant] Great job with the math! So Jenny spent $21 on the roses. Now, if she started with $25, how much money does she have left?

[User] If she had $25 and spent $21, that's $25 minus $21, so she has $4 left.

[Assistant] Exactly! Now, for the last step, how many quarters would Jenny get back if her change was $4?

[User] Yeah, so one dollar is four quarters, so four dollars would be four times four, that's 16 quarters. So she got 16 quarters as change.

[Assistant] Perfect! You worked through all the steps and figured out Jenny would get 16 quarters back. Nicely done!


[Assistant] Alright, let's start with the basics. Can you figure out how many ounces of M&Ms John bought?

[User] Uh, yeah, so he got 3 bags and each one's 10 ounces, so that's, um, 3 times 10... 30 ounces, right?

[Assistant] That's right! Now, if each ounce has 30 M&Ms, how many M&Ms does John have in total?

[User] Okay, so if there's 30 in each ounce, and he has 30 ounces, that's like 30 times 30. Uh, that's 900 M&Ms altogether.

[Assistant] Exactly! Now, if he wants to put 10 M&Ms in each small bag, how many bags can he make from those 900 M&Ms?

[User] Let me think. So, 900 divided by 10, that should be 90. So, he can make 90 little bags.

[Assistant] Perfect. So if John puts 10 M&Ms in each small bag and he's got 900 M&Ms, he'll end up with 90 small bags.


[Assistant] So, how many flowers does Ryan end up planting altogether?

[User] Uh, so wait, does he plant, like, different flowers each day or what?

[Assistant] That's a good question. When we say he plants 2 flowers a day, it just means he's adding 2 more to his garden every day. So, if he does that for 15 days, how many flowers would he have planted in total?

[User] I'm not really sure about the multiplication part yet. Is it 2 times 15 days? So that would be, uh, 30 flowers in total?

[Assistant] Exactly, that's right! Now, the problem said that 5 of those flowers didn't grow. So, with that in mind, how many flowers does Ryan actually have in his garden?

[User] Wait, I'm not sure how to, like, subtract the 5 flowers that didn't grow from the 30. Can you help me figure that out?

[Assistant] Of course! Let's think about it this way. Remember when you were counting your toys? Imagine you had 30 toys and you gave 5 away to your friends. How many toys would you have left? Now, try thinking about the flowers the same way. If Ryan had 30 flowers and 5 didn't grow, how many would he have left in his garden?

[User] Oh, I get it. It's like giving away 5 of my toys. So that means he'd have, um, 35 flowers left.

[Assistant] That's a great start, but it sounds like there might have been a little mix-up with the subtraction. If you have 30 toys and you give away 5, would you end up with more or fewer toys than you started with? Try subtracting again: Ryan started with 30 flowers, and 5 didn't grow, so how many does he have left?

[User] Oh, right, so it's fewer toys or flowers. Then the answer would be 25 flowers left.

[Assistant] That's absolutely correct! So, to sum up, Ryan planted 30 flowers at first, but since 5 didn't grow, he has 25 flowers in the garden now. Great job! You really understood how subtraction works.


[Assistant] Alright, let's start with the basics. If Adam's got a hundred dollars and each rock costs five bucks, how many rocks do you think he can buy with that?

[User] Uh, I'm not really sure how to figure that out.

[Assistant] No worries at all. Let's walk through it. So, if each rock is five dollars, and he's got a hundred to spend, how many times do you think five goes into a hundred? That's basically how many rocks he can get. Want to give that a shot?

[User] Okay, I, I think I get it. Is it like, twenty rocks?

[Assistant] Yep, exactly right! He can buy twenty rocks with his hundred dollars. Now, if he only manages to sell sixty percent of what he bought, how many rocks does he actually sell?

[User] Uh, I don't know, maybe sixty percent of twenty is twelve?

[Assistant] That's spot on! So if he sells sixty percent of his twenty rocks, that means he sells twelve rocks. Now, if each one goes for seven dollars, how much does he make from selling those twelve?

[User] You're supposed to, like, multiply the number of rocks by the selling price, right? I'm just, uh, not totally sure which numbers to use.

[Assistant] You've got it. You just need to multiply the number of rocks he sold, which is twelve, by the selling price, which is seven dollars each. Want to try that calculation and see what you get?

[User] Oh, wait, I think I messed up the numbers before. So, twelve times seven dollars, that's eighty-four dollars.

[Assistant] Perfect! That's right, Adam makes eighty-four dollars from selling those twelve rocks. Now, since we're trying to find out how much he lost, remember he started with a hundred dollars and only made eighty-four back. Can you work out how much that loss is?

[User] So, I just take eighty-four away from a hundred... that's sixteen, right? He loses sixteen bucks.

[Assistant] Exactly, great job! Adam ends up losing sixteen dollars. He started with a hundred, made eighty-four from selling, so the difference is sixteen. You really broke the problem down nicely!


[Assistant] Alright, let's start with the bedrooms. Do you know how many square feet one of the bedrooms is?

[User] Wait, uh, I don't really get it. Are we supposed to add them up or something?

[Assistant] Before we add anything, we need to figure out how big one bedroom is first. If it's 20 feet by 12 feet, can you work out what that comes to in square feet?

[User] Is it, um, 32 square feet?

[Assistant] You're on the right track trying to multiply the length and width, but the answer's a bit off. Can you try multiplying 20 by 12 again to get the area for one bedroom?

[User] Oh, I think I messed that up. So, if I do 20 times 12, one bedroom would be 240 square feet, right?

[Assistant] That's right! Now, since there are 4 bedrooms, how many square feet do they all take up together?

[User] Okay, so, uh, 4 bedrooms, each one's 240... all together that's 960 square feet for the bedrooms.

[Assistant] Exactly, nice work. So we've got the bedrooms covered. Now, if the living room is 5 times as big as one bedroom, can you tell me how many square feet the living room would be?

[User] If the living room's 5 times bigger than one bedroom, and one bedroom's 240 square feet, then the living room would be 5 times 240. That'd be 1200 square feet.

[Assistant] Perfect, you've got it! Now, to get the total area of the house, we just need to add up all the bedrooms, the living room, and the rest of the house. Do you remember how big the rest of the house is, and can you add everything up?

[User] Yeah, the rest is 1000 square feet. So if I add it all up, that's 960 for the bedrooms, 1200 for the living room, and 1000 for the rest. So, um, the total should be 3160 square feet.

[Assistant] That's exactly right, great job! So, to sum it all up, Tom's house has 960 square feet of bedroom space, 1200 square feet for the living room, and 1000 square feet for the rest of the house, making a total of 3160 square feet. Well done!


[Assistant] Alright, how much do you think the first 16 minutes would cost?

[User] Wait, why are we just talking about the first 16 minutes?

[Assistant] That's a great question. See, the problem says the price per minute changes after those first 16 minutes, right? So we have to figure out the cost for those 16 minutes on their own, and then work out the rest separately. Can you tell me what the cost would be for those first 16 minutes?

[User] Yeah, I mean, each minute is $0.25 for the first 16 minutes, so if I just do $0.25 times 16, that's $4.

[Assistant] Exactly! Now that you've got the cost for the first 16 minutes, can you figure out how many minutes are left in a 36-minute call?

[User] Uh, yeah, so if I take 36 minutes and subtract the first 16, that leaves me with 20 minutes.

[Assistant] You got it! Now, for those remaining minutes, do you remember what the rate per minute is after the first 16? And can you figure out the cost for those 20 minutes?

[User] Yeah, after that it's $0.2 per minute. So, $0.2 times 20 is $4.

[Assistant] Nicely done! So, to get the total cost, what should you do with the two amounts you just calculated?

[User] Um, I just add them together, right? So $4 from the first part plus $4 from the next 20 minutes, that's $8.

[Assistant] That's exactly it! So, based on these rates, a 36-minute call from a payphone would cost $8.


[Assistant] Okay, let's start with the first part. After he dropped half his marbles, how many do you think Brendan had left?

[User] Uh, I, I'm not really sure. Did he, like, lose all of them or just some?

[Assistant] Not all of them. The question says he dropped half of his marbles. So, if he started out with 10, what's half of that?

[User] Oh, right! Half of 10's 5, so he dropped 5 marbles.

[Assistant] Exactly, he dropped 5 marbles. Now, out of the ones he lost, how many did he manage to find later? And remember, one of them wasn't actually a marble. Can you figure out how many marbles Brendan has at the end?

[User] Okay, so, uh, if he found 3 of them, then he'd have 8 marbles. Wait, but then, one was a bead, so he got rid of it, so that's 7 marbles left.

[Assistant] That's it! Brendan ended up with 7 marbles. Want to quickly walk me through how you figured it out?


[Assistant] So, do you know how much an adult ticket costs?

[User] Wait, what does that have to do with, uh, the total?

[Assistant] Great question. To figure out the total, we need to add up what they bought, right? So if each adult ticket is $12, how much would two of them be?

[User] Hmm, I'm not sure... is it $24?

[Assistant] You got it! Two adult tickets are $24. Now, let's look at the child's ticket. Do you remember how much that one cost?

[User] Yeah, the child's ticket was $8.

[Assistant] Perfect. So, we've got two adult tickets for $24, one child ticket for $8. How about the popcorn? They bought two of those.

[User] Oh, right. Two popcorns, that's $6, since each is $3.

[Assistant] Exactly! Now, can you add those up and tell me how much the family paid altogether?

[User] Uh, the total is $34. I added $24, $8, and $6.

[Assistant] That's spot on! The family paid $34 for the tickets and popcorn. You did a great job breaking it down and adding everything up. Do you feel more comfortable with this kind of problem now?

[User] Yeah, I do feel confident now. Thanks for helping me out. I, I know to just break it up and add everything to get the total.

[Assistant] That's awesome to hear! I'm glad you're feeling good about it. The more you practice these, the easier they'll get. Want to try another one to make sure you've got it down?


[Assistant] Alright, let's start with the T-shirts. If you get 50% off, how much does that make one T-shirt cost?

[User] Wait, so is the T-shirt, like, free or is it just half of the eight bucks?

[Assistant] It's not free, just half off. So if a T-shirt is eight dollars, you'd pay half that. What does that come out to?

[User] Oh, okay. After a 50% discount, I guess the T-shirt would be four dollars.

[Assistant] Exactly! Now, if Jake's buying two T-shirts—one at full price, one at half price—how much is he spending on T-shirts altogether?

[User] So, uh, for both T-shirts, that's eight for the first one and four for the second, which adds up to twelve dollars for both.

[Assistant] Nice job with the T-shirts. Now, let's move on to the shoes. They're 40% off, and the original price is forty dollars. How much does Jake pay for the shoes after the discount?

[User] Alright, forty percent off forty dollars is, um, sixteen dollars off. So Jake would pay forty minus sixteen, which is twenty-four dollars for the shoes.

[Assistant] That's right! Now that we've got the T-shirts and shoes figured out, can you add those together to see the total Jake spends at the store?

[User] Yeah, for sure. He spends twelve on the T-shirts and twenty-four on the shoes, so together that's thirty-six bucks total.

[Assistant] Perfect! You broke down the whole problem and got the correct total. Anything else you'd like to work through, or does that all make sense now?


[Assistant] So, how many cars are either automatic or manual?

[User] Uh, I think automatic cars are the ones that, you know, drive themselves, right?

[Assistant] Not quite. An automatic car just means the gears change by themselves, you don't have to do it manually. So, looking at the problem, how many cars are either automatic or have manual gears?

[User] Oh, okay, so automatic cars change gears on their own and manual cars, uh, you have to do it yourself? So, that's 12 automatic and 4 manual. That means, uh, automatic or manual cars would be 12 plus 4, which is 16 cars, right?

[Assistant] Yep, that's right! So if there are 20 cars in total and 16 of them are automatic or manual, how many are left that are semi-automatic?

[User] The semi-automatic ones are just the rest, so, um, 20 minus 16. That leaves 4 semi-automatic cars.

[Assistant] Exactly! Now, out of 20 cars, 4 are semi-automatic. Can you figure out what percentage that is?

[User] Is it, uh, 4 divided by 20, so the percentage is 80%?

[Assistant] You're thinking about it the right way, but there’s a small mistake in your calculation. Remember, to get a percentage, you divide first, then multiply by 100. So when you do 4 divided by 20, what do you get? And what happens if you multiply that by 100?

[User] Oh! So, 4 divided by 20 is 0.2, and then if I times that by 100, it’s 20%. So, uh, 20% of the cars are semi-automatic.

[Assistant] That's it, great job! You figured out that 20% of the cars are semi-automatic. Whenever you have a whole and know some parts, you can just subtract the parts you know to find the rest. Then, for percentages, divide the part by the whole and multiply by 100. Nicely done!


[Assistant] Alright, how much do you think three action figures are worth?

[User] So, uh, we're adding prices, but where do we even start?

[Assistant] That's a great question! Well, we know each action figure is $5. So, using that, how much do you think three action figures would cost?

[User] I, I think it's $20 because 5 plus 5 is 10, and then another 5 is 15, and then another 5 is 20...right?

[Assistant] You're really close, but let's try that one more time. You're right, we need to add $5 three times because there are three action figures. So if you add $5 plus $5, what does that give you?

[User] Oh, okay! If we do $5 plus $5, that's $10. Then add another $5, and that gives $15. So three action figures should be $15.

[Assistant] That's exactly right! Now that we've got the cost for the action figures, let's go to the next step. If one red car costs $4, how much would it cost for all five red cars?

[User] Uh, I'm a little confused. Do we gotta multiply the price of one red car by the number of cars?

[Assistant] Yep, you've got it! To get the total for all five red cars, we just multiply the cost of one car by five. So if one red car is $4, how much do you think five would be?

[User] Oh, okay, I get it. So for five red cars, we'd do $4 times 5. That makes $20.

[Assistant] Great job! Now for the last step. We've found three action figures cost $15, and five red cars are $20. So to get the total for all the toys, what do you think we should do with those numbers? And don't forget about the doll. It costs the same as three action figures.

[User] Oh, so the doll is $15 too, just like the action figures, right? If we want the total, we add up those three: $15 for the action figures, $20 for the cars, and $15 for the doll. That comes to $50 for all the toys.

[Assistant] Exactly, nicely done! So, we added together the cost of the action figures, the red cars, and the doll to get $50 for everything. This way of adding things up can help whenever you need to find the total cost of different things. Can you think of any other times you might use this method?


[Assistant] So, how many pounds of insects do the ducks need each week?

[User] Wait, I, I don't get it. Are you asking about just one duck, or, uh, all ten of them?

[Assistant] That's a great point. Just to be clear, how many pounds of insects would all ten ducks need in one week to survive, based on what the problem says?

[User] Oh, okay. So, ten ducks would need 35 pounds of insects in a week, since each one needs 3.5 pounds.

[Assistant] That's right! Now, since the ducks need to eat every day, can you figure out how many pounds of insects they need each day?

[User] Uh, I'm not really sure how to go from weeks to days.

[Assistant] No worries at all. Here's a question to help you out. If a week has 7 days, how could you figure out the amount they eat each day from the total amount for the week?

[User] So, I should, like, split the total amount for the week into 7 days?

[Assistant] Exactly! If they eat 35 pounds in a week and there are 7 days, how many pounds do you think they'd eat per day?

[User] That would be 35 divided by 7, right? So, uh, 7 pounds a day?

[Assistant] Yes, that's spot on! You did a great job working through the problem and figured out that ten ducks need to eat 7 pounds of insects each day. Any other questions about this?


[Assistant] So, how much does she wanna spend altogether?

[User] Uh, I don't really get it. Are we supposed to add the shoes and the belt, or what?

[Assistant] Yeah, that's right! She wants to buy both, so you'll need to add the cost of the shoes and the belt to figure out how much she wants to spend in total.

[User] Can you just, like, tell me the answer?

[Assistant] I get that you want the answer right away, but remember, we're trying to learn how to solve these problems. Why don't you give adding the shoes and the belt a try yourself? Can you work out the total?

[User] Okay, uh, the total's $352.

[Assistant] Nice job! So now we know she needs $352 in total. Since she earns $8 an hour at her job, can you figure out how many hours she needs to work to earn enough for both?

[User] I'm not really sure how to do that.

[Assistant] That's totally fine. Let's walk through it together. If she makes $8 every hour and needs $352, how many times does $8 go into $352? That'll tell you how many hours she has to work.

[User] So, wait, am I dividing the total by how much she gets paid per hour to figure it out?

[Assistant] Exactly! If you divide the total amount she wants to spend, which is $352, by her hourly wage of $8, that'll tell you how many hours she needs to work. Want to try that and see what you get?

[User] Yeah, I did the math and got 46 hours. So, she needs to work 46 hours to buy the shoes and the belt.

[Assistant] That's perfect! Dividing the total cost by her hourly pay gives you the number of hours she has to work. So she'll need to work 46 hours to afford both. Great job sticking with it!


[Assistant] Okay, so how many hours do you think the candle was burning for?

[User] Uh, I'm not really sure. Like, how does knowing the time help me figure out how much the candle shrank?

[Assistant] That's a really good question. The thing is, the candle melts a certain amount every hour. So if we know when it started burning and when it stopped, what could we do to figure out how many hours it was burning?

[User] Oh, right. So I, I just count the hours from when it started? So from 1:00 PM to 5:00 PM, that's 4 hours, isn't it?

[Assistant] Yep, that's exactly right. It burned for 4 hours. Now, since we know the candle melts by 2 centimeters each hour, how could we work out how many centimeters it melted in those 4 hours?

[User] So, we just, uh, multiply the hours it burned, which is 4, by how much it melts every hour, which is 2. That means the candle melted 8 centimeters in those 4 hours.

[Assistant] That's spot on, great job! So, can you tell me how much shorter the candle will be after burning from 1:00 PM to 5:00 PM?


[Assistant] Alright, how many candies do you think Robert has?

[User] Uh, 27 candies... cause half of 54 is 27.

[Assistant] That's right! Now, can you figure out how many candies James has if he has 6 more than Robert?

[User] I'm not sure. Like, how do we, uh, work out James's candies if we know he has 6 more than Robert?

[Assistant] Great question! So if Robert has 27 candies, and James has 6 more than that, we just add 6 to what Robert has. So, what do you get when you add 27 and 6?

[User] I don't know... is it 34?

[Assistant] Good try! Let's give it another shot. If you have 27 candies and I give you 6 more, how many would you have then?

[User] Oh, I get it now. So it's 27 plus 6, which is 33, right?

[Assistant] Exactly! Now, since James has 33 candies and John has 54, can you tell me how many more candies John has than James?

[User] Yeah, we just subtract 33 from 54. So, I think John has 21 more candies than James.

[Assistant] Great job! You subtracted 33 from 54 and got 21, so John does have 21 more candies than James. Keep it up!


[Assistant] So, can you figure out how many trees Ferdinand has?

[User] Wait, so does Ferdinand also have, like, 6 trees?

[Assistant] That's a smart guess, but actually, the question says Ferdinand has half as many trees as Chris. If Chris has 6 trees, what would half of that be?

[User] Uh, half of 6 is 3, so I guess Ferdinand has 3 trees.

[Assistant] Exactly! Now that we've got that, can you work out how many trees Harry has?

[User] Okay, so Harry has 5 more than twice what Ferdinand has, right? So twice 3 is 6, and then 6 plus 5 is 11. So, Harry's got 11 trees.

[Assistant] Great job! Now, can you tell me how many more trees Harry has than Ferdinand?

[User] Yeah, Harry has, uh, 8 more trees than Ferdinand, since 11 minus 3 is 8.

[Assistant] Nice work! You're really getting the hang of this. Let me ask you something similar. If Harry decided to give some of his trees to Ferdinand, how many would he need to give so they both have the same number of trees?

[User] Hmm, for them to have the same, Harry would have to give, like, 4 trees to Ferdinand. That's half of the difference between them, I think.

[Assistant] That's spot on! If Harry gave 4 trees to Ferdinand, they'd both end up with the same number. You did a fantastic job figuring that out and using the steps we talked about. Keep it up!


[Assistant] So, how many inches do the topaz gemstones add up to?

[User] Uh, 64 inches.

[Assistant] Let's take another look at that. If each topaz gemstone is one inch long and she uses 8 gemstones, how many inches do you get in total from those 8?

[User] Oh, wait, I messed that up. Each one is an inch, so 8 gemstones would be 8 inches altogether.

[Assistant] That's right, nice job! Now, since the whole necklace is 25 inches and 8 inches are taken up by the gemstones, how many inches do we have left for the sterling silver beads?

[User] I think I got it wrong before, so let me try again. The necklace is 25 inches, and if 8 inches are from the gemstones, then 25 minus 8 should leave 17 inches for the beads.

[Assistant] You've got it! Now, to figure out how many sterling silver beads fit in those 17 inches... If each bead is a quarter inch long, how many beads will you need to fill up 17 inches?

[User] Uh, is it 4 beads for the 17 inches?

[Assistant] You're definitely thinking about it! But since each bead is a quarter inch, 4 beads would only make up 1 inch. So if there are 17 inches to fill, how many beads do you think you'll need?

[User] Oh, I see what I did. Since 4 beads make an inch, for 17 inches, it’d be 4 times 17, so, uh, 68 beads.

[Assistant] Exactly, great work! So that's how many sterling silver beads Katerina uses for each necklace. Anything else you want to ask about this?


[Assistant] So, how many people did John actually beat?

[User] Uh, I, I don't really get what 80% means.

[Assistant] That's completely fine! When someone says 80%, it just means 80 out of every 100. So, if John arm wrestled 100 people, he'd beat 80 of them. But since he only went up against 20 people, do you think you could figure out how many he actually beat?

[User] I'm not sure, like, what's 80% of 20?

[Assistant] Great question! Let's walk through it together. To find 80% of 20, you can just multiply 20 by 0.8, since percentages are really just fractions out of 100. Want to give 20 times 0.8 a try?

[User] Uh, I think it's 16, but, honestly, I'm not totally sure I did that right.

[Assistant] That's a solid try! You know, everyone makes mistakes, and that's how we learn. Let's just check it one more time. If you multiply 20 by 0.8, what do you get now? It's totally okay to grab a calculator if you want.

[User] Alright, I did it again, and yeah, I also get 16. Thanks for telling me to double-check.

[Assistant] Nice job, you got it! So John beat 16 people in those matches. Now, let's see about the next part. If John arm wrestled 20 people in total and beat 16 of them, how many do you think he lost to?

[User] Um, I don't really know, does that mean I just do 20 minus 16?

[Assistant] Exactly! We started with 20 people overall, and if you take away the 16 that John beat, you're left with the ones he lost to. Want to go ahead and do 20 minus 16?

[User] Yeah, sure, 20 minus 16 is 4.

[Assistant] That's it, well done! John lost to 4 people in those arm-wrestling matches. You did a great job working through this, and I'm really proud of you for sticking with it. Keep it up!


[Assistant] Alright, can you tell me how many hours John spent swimming?

[User] Uh, 6 divided by 2... so, like, 4 hours?

[Assistant] You were close, but there's a little mistake in your math. Let's try again. If John spent half as much time swimming as he did boating, and he boated for 6 hours, what's half of 6?

[User] Oh, yeah, sorry. I messed that up. Half of 6 is 3, so he spent 3 hours swimming.

[Assistant] That's right! So John spent 3 hours swimming. Now, how many hours did he spend watching shows?

[User] He watched, uh, 3 shows, and each one was 2 hours, so that's 6 hours watching shows.

[Assistant] Perfect. So that's 3 hours swimming and 6 hours watching shows. Now, if you add up those hours with the time he spent boating, how many hours did he spend on all those activities together?

[User] Let me see. That's 6 hours boating, plus 3 swimming, plus 6 watching shows. So, uh, 6 plus 3 plus 6... I think that's 16 hours.

[Assistant] You're definitely thinking it through, but there's just a tiny slip in the math there. If you add 6, 3, and 6, what do you get?

[User] Oh, wait, I messed up. 6 plus 3 plus 6 is 15, not 16. So, yeah, he spent 15 hours in total on those activities.

[Assistant] Exactly. So, John spent 15 hours on those activities. Now, let's look at the next part. If those 15 hours make up 30 percent of the time he spent on vacation, can you figure out the total amount of time he spent on his vacation?


[Assistant] So, how many kids do you think like blue?

[User] Um, is it 40? 'Cause there are 40 pupils, right?

[Assistant] Not quite. Remember, half of the class likes blue. Can you figure out what half of 40 would be?

[User] I, I always get stuck on this 'half' thing. Does that just mean I should divide 40 by 2?

[Assistant] Exactly right! When we say 'half,' we're just splitting the number into two equal parts. So if you divide 40 by 2, what do you get?

[User] Oh, okay. So, um, 40 divided by 2 is... 20, right? Yeah, 20.

[Assistant] You've got it! So 20 students like blue. Now, can you figure out how many students like green or yellow?

[User] So for green, it's like one-fourth of the leftover 20, which is 5. And then the rest, which should be 15, must like yellow.

[Assistant] You're really getting the hang of this! So, one-fourth of those 20 students is 5 who like green. If that's the case, how many are left for yellow?

[User] Oh, I get it now! If 5 kids like green, then, um, the rest who like yellow would be 15 because 20 minus 5 is 15.

[Assistant] Exactly! So 15 students like yellow. Nice job figuring out how many students like each color. Can you list out how many students like blue, green, and yellow altogether?


[Assistant] Alright, let's start with this one. How old do you think Beth is?

[User] Uh, so if Erica's 30, and Beth is, like, older than her... Beth would be 35?

[Assistant] Yep, you've got it! Now, what about Alice? She's 7 years older than Beth. Can you figure out her age?

[User] Yeah, so if Beth is 35, and Alice is 7 years older, then Alice would be, uh, 42.

[Assistant] That's perfect! Now you know Alice is 42 and Erica is 30. So, what's the difference between their ages?

[User] Is that, like, how much older Alice is than Erica? I'm not totally sure how to work that out.

[Assistant] Exactly, that's what it means. We just need to subtract Erica's age from Alice's age. Want to give it a try?

[User] I think that would be... 42 minus 30... That's 22, right?

[Assistant] You're definitely close, but I think there might be a little mistake in your subtraction. Can you try 42 minus 30 one more time?

[User] Oh, whoops, my bad. It's 12. So the difference between Alice and Erica is 12 years.

[Assistant] That's exactly right, great job! So now you know how to find the difference in ages. This is something you can use in lots of other situations too. Do you feel good about this, or do you want to go over anything else?


[Assistant] So, how many employees can ride on the bus?

[User] Uh, which bus are we talking about? There are, like, so many.

[Assistant] Good catch, yeah, there are a bunch of buses here. In this case, I'm talking about the big buses that each hold 60 employees. Since there are 4 of those, can you figure out how many employees can fit on these buses altogether?

[User] I, I don't get it. Are we supposed to add 4 and 60 together or something?

[Assistant] Nope, we don't add 4 and 60. Instead, we multiply them, because there are 4 buses and each one carries 60 people. So, how many employees can fit on all 4 buses?

[User] Um, I think if we do 4 times 6, that's 24, and then if we just stick the zero from 60 on, it's 240.

[Assistant] That's right! You've got the multiplication down. So 4 times 60 does give us 240. Now, can you try the same thing to see how many employees can ride on the minibusses?

[User] Yeah, sure, same thing. So, 6 times 3 is 18, and then tack on the zero from 30, so that's 180.

[Assistant] Exactly! That's just how you'd do it. So, 180 employees can fit on the minibusses. Now, how about the 10 minivans, each with room for 15 employees?

[User] Alright, so using the same idea, 10 times 15 is 150. Then, if I add up 240 from the big buses, 180 from the minibusses, and 150 from the minivans, that gives me 570. So, 570 employees can go on the day trip.

[Assistant] That's fantastic! You've totally nailed the process. Just to double-check, you got 240 on the big buses, 180 on the minibusses, and 150 on the minivans, and when you add them all up, you get 570. So, 570 employees can join the trip?


[Assistant] Alright, let's start with the first part. How much did the salesman make at the flash sale?

[User] Uh, okay, so 17 times 20... is that, um, 340?

[Assistant] Yep, that's right. Seventeen times twenty gives you three hundred forty dollars. Now, can you figure out how many sneakers were left after the flash sale?

[User] So, there were 48 sneakers at the start, and he sold 17 at the flash sale. If I subtract 17 from 48, I, I think that leaves him with 31 sneakers after the flash sale.

[Assistant] Exactly. After selling those 17, he had 31 left. Now, can you figure out how much he made by selling the rest of the sneakers to the department store?

[User] Yeah, so if he sold each of those 31 sneakers for $25, that's 31 times 25, which comes out to $775.

[Assistant] Nicely done. That's correct. Now, if you add the amount from the flash sale and the department store together, what's the total amount the salesman made?

[User] Adding the $340 from the flash sale and the $775 from the department store, that means he made, um, $1,115 in total.

[Assistant] Great. Now, here's the last step. You know how much he spent buying the sneakers, and how much he earned selling them. How do you find the profit?

[User] So, he spent $576 at first, then made $1,115 by selling them. If I subtract $576 from $1,115, that gives me $539. So, his profit is $539.

[Assistant] Exactly right. He made a profit of $539. Nice job breaking it down and working through each step. You really thought it through!


[Assistant] So, how many students do you think are at that grade level?

[User] Uh, I don't get it. Like, how does knowing how many students don't have computers tell us the total number?

[Assistant] That's a really good question. The info they gave us tells us that the students without desktop computers actually make up one-fourth, or 25 percent, of all the students. So if 20 students are that one-fourth, can you think of a way to figure out the total number of students from that?

[User] I'm still kinda stuck on how to use that. Could you, uh, explain it in a different way?

[Assistant] Of course. Let's break it down a little more. If 20 students are one-fourth of the total, then what would the total be? Think about it like this: if you had a quarter of a cake and that piece was 20 bites, how many bites would the whole cake be?

[User] So... is it like, dividing by a quarter or something? I'm not sure what you mean by the whole cake part.

[Assistant] You're actually on the right track thinking about division! But let’s try it another way. If you know that 20 students are one quarter of all the students, how many would there be if you had all four quarters? Remember, four quarters make a whole, just like the full cake from before.

[User] Oh, so if 20 students is like one piece of the cake, then four pieces would be 80 students. Is that what you mean?

[Assistant] Exactly! You got it. So, how many students are there altogether in that grade level? Just like having all four pieces of the cake.

[User] Now I get it! So, uh, there are 80 students in total at that grade level. Thanks for the cake thing, it actually helped me understand!

[Assistant] You're so welcome! You did a great job working through that. Now that we know there are 80 students in total, does that mean the rest of them have desktop computers at home? Can you figure out how many students that would be?


[Assistant] So, how many inches was the wire?

[User] Uh, I don't know... what does feet have to do with inches?

[Assistant] That's a great question! There are 12 inches in a foot. So if Tracy had a wire that was 4 feet long, how many inches do you think that would be?

[User] Erm, I guess that means the wire was, like, 48 inches long?

[Assistant] Exactly! So now we know the wire was 48 inches long. If she cuts that wire into pieces that are each 6 inches long, how many pieces do you think she can get from the whole wire?

[User] I'm not really sure how to figure that out. What am I supposed to do with the 6 inches and the 48 inches?

[Assistant] Great question! Let's look at it this way: if you have a string that's 48 inches long, and you want to cut it into pieces that are each 6 inches, how many 6 inch pieces can you get from that string? Aren't we just dividing 48 by 6?

[User] Oh, you're right! So, for every 6 inch piece, that's one. So 48 divided by 6 should give us how many pieces she gets. That'd be 8 pieces, right?

[Assistant] Exactly right! By cutting the 48 inch wire into 6 inch pieces, Tracy ended up with 8 pieces in total. Does this method make sense to you now? Do you feel like you could solve similar problems on your own?


[Assistant] Alright, let's start with the family-size pizza. Do you know how much that one costs compared to the small pizza?

[User] Uh, I'm not sure. How many times more is it, exactly?

[Assistant] The family-size pizza actually costs three times as much as the small one. So if the small pizza is $8, what do you think the family-size one would cost?

[User] So, uh, that'd be, like, $24 for the family-size pizza, right?

[Assistant] Exactly, you got it! Now, if Sally buys one small pizza for $8 and one family-size pizza for $24, how much does she end up spending altogether?

[User] She, uh, she spends $32 in total.

[Assistant] That's perfect! So, all we did was add $8 for the small pizza to $24 for the family-size pizza, and $8 plus $24 gives us $32. Does that make sense now, how we worked out the total cost?


[Assistant] Alright, let's start with this. How many cookies did Josh make?

[User] Wait, so, um, does Kelsie make more than, uh, Suzanne or more than Josh?

[Assistant] That's a great question. Before we figure that out, we need to know how many cookies Josh made first. So, if Josh made one-fourth the number of cookies Suzanne made, and Suzanne made 36 cookies, how many cookies did Josh make?

[User] Oh, Josh made 9 cookies, right? Because he made a quarter of what Suzanne did. I just divided 36 by 4.

[Assistant] Exactly, you're right! Now, if Kelsie made two times more cookies than Josh, and Josh made 9 cookies, how many did Kelsie make?

[User] Kelsie made 18 cookies, 'cause she made twice as many as Josh. So, I just multiplied 9 by 2.

[Assistant] Great job! Now, how many cookies do Josh and Kelsie have together?

[User] Uh, together, they have 27 cookies, 'cause I added the 9 that Josh made and the 18 that Kelsie made.

[Assistant] Nicely done! You've figured out how many cookies Josh and Kelsie made. Now, if we add Suzanne's cookies to that, how many cookies were made in total at the bake-off?


[Assistant] Alright, so let's start with the basics. How much does each boy get if $18 is shared among them?

[User] Uh, I think, well, each boy gets $18 divided by 3, so that's $6, right?

[Assistant] Exactly, that's right! Now, after the eldest gets his share, he adds $5 to it. How much does he have at that point?

[User] So, he had $6, and then he, uh, adds $5. That makes it $6 plus $5, which is $11 after he adds the $5.

[Assistant] You've got it! Next step, he adds another $10 the following day. What does that bring his total to?

[User] Okay, so if he already had $11, and then adds $10, that would be $11 plus $10, so $21.

[Assistant] Perfect, that's correct! Now, he spends $8 from that amount. How much is left after he spends the $8?

[User] If he had $21 and spent $8, then he'd have $21 minus $8, which is $13 left.

[Assistant] Great job! Now, let's say he manages to triple the $13 he has after spending the $8. How much money does he end up with now?

[User] So, um, if he triples the $13, that'd be $13 times 3, which is $39.

[Assistant] That's absolutely correct. The eldest boy now has $39. You did a great job breaking the problem down step by step. Keep using this method for other problems too. Nice work!


[Assistant] So, how many pages do you think Judy reads each night?

[User] Wait, uh, I don't really get it. Are we talking about the first week or, like, the second week?

[Assistant] Let's start with the first week. If Judy can read 2 pages in 1.5 minutes, how many pages do you think she'd get through in 15 minutes?

[User] Hmm, I think she can read 20 pages in 15 minutes.

[Assistant] That's right! So, since she reads 20 pages every night, how many pages would she get through in the first week if she read every night?

[User] Uh, I'm not really sure how to figure that out.

[Assistant] No worries. Let's take it step by step. If she reads 20 pages each night for a week, and there are seven nights, could you try multiplying those two numbers together to get the total for the week?

[User] Oh, okay, so if it's 20 pages every night for 7 nights, that'd be... 140 pages in the first week.

[Assistant] Exactly! Now, since she read 140 pages in the first week and 100 pages in the second week, what happens if we add those together? How many pages did she read in the two weeks?

[User] Yeah, so if we add 'em, that's 240 pages in total for the two weeks.

[Assistant] Nicely done! By adding up what she read each week, we found out Judy read 240 pages over the two weeks. Does all that make sense? Do you feel good about how we got there?


[Assistant] So, how much weight do you think Martin would gain if he had donuts for breakfast every day?

[User] Uh, I dunno, what does "gain" mean exactly?

[Assistant] "Gain" here just means to add on, like his weight would go up. So, can you figure out how much weight Martin would add if he eats donuts every day for 5 weeks?

[User] Um, I think Martin would add, like, 5 pounds in 5 weeks?

[Assistant] Let's take another look at the problem. Martin gains 1.75 pounds each week, and we're talking about 5 weeks. How could we figure out the total weight gained over those 5 weeks?

[User] Uh, so I guess I should multiply 5 by 1.75? But, I think we also subtract 1.25, right? So, is it like, (5 times 1.75) minus 1.25? I got 7.75 pounds.

[Assistant] You're right that to find out how much weight he'd gain from donuts in 5 weeks, you'd multiply 5 by 1.75. But, to compare both breakfast options, you'd also want to figure out how much he'd lose with Cheerios, which is 5 times 1.25. Once you have both, you can subtract the weight lost from the weight gained. Want to try that calculation?

[User] Yeah, I can try. So, 5 times 1.75 is 8.75 pounds. Then 5 times 1.25 is 6.25 pounds. Then, uh, subtract... I think I messed up... The difference is 3 pounds?

[Assistant] You did great with the multiplication! You found how much Martin would gain from donuts and lose from Cheerios. But I think there might be a small mistake with the subtraction. Can you try subtracting 6.25 from 8.75 one more time?

[User] Oh, sorry, I messed up. If I subtract 6.25 from 8.75, it's 2.5 pounds, not 3.

[Assistant] That's perfect! You got the subtraction right this time. So, the difference in Martin's weight after 5 weeks between the two breakfasts would be 2.5 pounds. Nice work!


[Assistant] So, after the first week, how tall do you think the beanstalk was?

[User] Uh, didn't it just stay at 3 inches?

[Assistant] The problem says it was 3 inches tall after that first week. But do you think it stayed the same height during the second week, or did something else happen?

[User] Oh, um, looks like something else happened, but I'm not really sure what.

[Assistant] No worries, let's take another look. The question says the beanstalk doubled in height in the second week. So, if it was 3 inches after week one, what do you think happens if it doubles?

[User] So, doubling means, uh, it's like 3 plus 3, right? So it'd be 6 inches tall after the second week?

[Assistant] That's right! You got it. Doubling means you take what you have and multiply it by two. Now, for the third week, the problem says it grew another 4 inches. So if it was 6 inches tall after week two, how tall would it be once you add those 4 inches in week three?

[User] Oh, okay! If it was 6 inches in the second week and then grew 4 more, that would make it, uh, 10 inches after the third week.

[Assistant] Exactly! You figured it out. So, just to make sure we've got everything straight, can you tell me how tall the beanstalk was after all three weeks?

[User] Yeah, the beanstalk was 10 inches tall after all three weeks.

[Assistant] Awesome job! You worked through the whole beanstalk growth problem perfectly. You've learned how to handle doubling and adding amounts over time. Really well done!


[Assistant] So, do you know how many orders Julie handles in a day?

[User] Uh, I'm not really sure. Is it, like, 50 too?

[Assistant] Actually, the problem says Julie works twice as fast as Jewel. So if Jewel gets through 50 customers a day, how many do you think Julie manages in the same time?

[User] Oh, right, that makes sense. If she's twice as fast, then she'd do, um, 100 orders a day. That's double what Jewel does.

[Assistant] Exactly. Now that we've got how many orders Julie does in a day, can you figure out how many the two of them process together each day?

[User] Yeah, I think so. You just add them up, right? So 50 plus 100... that's 150 orders a day together.

[Assistant] Nice work! Now, if they're both working every day of the week, how many orders do you think they get through in a week?

[User] Well, if it's seven days, then you just multiply the daily total, so 150 times 7. Uh, that's 1,050 orders in a week.

[Assistant] That's spot on! Multiplying the daily total by the number of days gives you their weekly output. Knowing both how much they do in a day and how many days they work helps you figure out the bigger picture. Want to try this approach on another word problem?


[Assistant] So, how many minutes do you think it took to cook the pork?

[User] Uh, so she cooked rice for 30 minutes, right? What does that have to do with, like, the pork?

[Assistant] Well, the problem says it took her 20 more minutes to cook pork than it did rice. If the rice took 30 minutes, how long would you say the pork took?

[User] Is it, uh, 20 minutes more than 30 for pork? So, 50 minutes?

[Assistant] Great thinking! Yeah, if pork took 20 minutes longer than the rice, and rice was 30 minutes, you just add those together, so pork would be 50 minutes. Does that make sense?

[User] Yeah, I get it. So the total time for both pork and rice is, uh, 80 minutes, right?

[Assistant] Exactly, you're getting it! The combined time for pork and rice is 80 minutes. Now, with that in mind, how long do you think it took to cook the beans, since the beans took half the combined cooking time of pork and rice?

[User] Okay, so if beans took half of that 80 minutes, then, uh, the beans must've taken 40 minutes to cook.

[Assistant] Spot on! Now, can you figure out the total time it took to cook all the food? That means adding up the times for rice, pork, and beans.

[User] Sure, if rice was 30, pork was 50, and beans were 40, then all together that's, uh, 120 minutes to cook everything.

[Assistant] Perfect! You got it. The total time to cook all the food is 120 minutes, just like you added up. Awesome job! Do you feel good about how we worked through that problem?


[Assistant] So, how many adults are we talking about here?

[User] Wait, is that like, just Jack or does that mean everyone together?

[Assistant] That's a great point. When it says 'Jack with 8 other adults', what do you think the total number of adults is?

[User] Oh, okay, so we count Jack too. That means, uh, there are 9 adults all together.

[Assistant] Exactly, there are 9 adults including Jack. Now, if each person weighs about 80 kilos, can you figure out how much they all weigh in total?

[User] So, I guess you'd do 9 times 80... yeah, that's 720 kilograms.

[Assistant] That's right. Now, if the elevator's limit is 700 kilograms and all of them add up to 720, can you tell by how much they go over the maximum load?

[User] They go over by 20 kilograms, right?

[Assistant] That's spot on. They go over by 20 kilograms. Really nice work figuring all that out.


[Assistant] So, how much money does she get over those 8 weeks?

[User] Uh, it's $5 for 8 weeks, so... $5 plus 8 is... $13?

[Assistant] That's an interesting way to look at it! But if she's getting $5 each week for 8 weeks, do you think we should add $5 and 8 together, or maybe use another operation?

[User] Oh, wait, yeah. We should multiply $5 by 8, not add, right? So she'd get $40 in total.

[Assistant] Exactly! She gets $5 every week for 8 weeks, so $5 times 8 gives us $40. Now, if she ends up with $100 after 8 weeks and got $40 during that time, how much do you think she started with?

[User] Uh, I'm not really sure what to do next.

[Assistant] No worries, you're doing really well! So, she started with some amount, added $40 from her allowance over 8 weeks, and finished with $100. If we want to find her starting amount, could we maybe use subtraction here?

[User] Oh, I think I get it now. So, we subtract the $40 she got from the $100 total to figure out how much she started with. Let me see... She started with $60.

[Assistant] That's right! If she finishes with $100 after adding $40, then subtracting $40 from $100 shows she started with $60. Does that make sense? Want to try another one to practice?


[Assistant] So, let's start with this. How many days are there in two weeks?

[User] Uh, I'm kinda confused. What do you mean by two weeks?

[Assistant] Well, you know, one week has seven days, right? So, if we're talking about two weeks, how many days would that be in total?

[User] Um, I'm not sure. Is it, like, 14 days?

[Assistant] Exactly! One week is seven days, so two weeks is double that, which is 14 days. Now, if Alex charges $12 each day, how much would she charge for those 14 days of tutoring?

[User] I, I don't really know how to do that. Like, how do I multiply 14 and 12 dollars?

[Assistant] That's alright! I'm here to help. Let's break it down. If Alex charges $12 for one day, how much would she charge for two days?

[User] For two days, um, would it be $24?

[Assistant] Yes, that's right! She'd charge $24 for two days. Now, think about it this way: two days is like a little group, right? And in 14 days, you have seven of those two-day groups. So, if you take $24 for each group and multiply it by 7, what do you get?

[User] Is it, uh, $168? I feel like I might've messed up again.

[Assistant] You've got it, that's correct! If Alex charges $24 for every two days and there are seven groups of two days in 14 days, then she'd charge $168 for two weeks. You did a great job working through it!


[Assistant] So, how many people are we talking about here?

[User] Wait, are you asking just about the siblings, or...?

[Assistant] I'm actually asking about everyone who's sharing the money, so that includes Greg and his siblings. Do you know how many people that is altogether?

[User] Oh, okay, yeah. That makes it 4 people in total.

[Assistant] Nice job figuring that out! Now, how do you think we can figure out how much each person gets if they're splitting the money equally?

[User] Uh, do we, like, subtract the number of people from the money?

[Assistant] That's a creative idea, but for this problem we actually want to divide the total amount of money by the number of people. Want to give that a try?

[User] Alright, so if I divide, I get $16 for each person.

[Assistant] That's a good effort, but it looks like the answer's a bit off. Remember, we're dividing $20 by 4 people. Can you try that calculation again?

[User] Oh, right, I messed up there. If I do it right, it's $5 for each person.

[Assistant] That's exactly right! You did a great job figuring out how to split the money. So if everyone shares it equally, each person gets $5. Well done!


[Assistant] So, let's start with this. How much do you think the electricity will cost for the whole year?

[User] Wait, I'm a little confused. Are we talking about just one month or, uh, the cost for the whole year?

[Assistant] That's a good question! Right now, we're looking for the cost for the entire year. Since you know the monthly electricity bill is $100, how do you think you could figure out the yearly total?

[User] Well, if it's $100 each month, then, uh, for the year it'd be $100 times 12. So, that's $1200, right?

[Assistant] Exactly, you've got it! The total for the year is $1200. Now, if Jenna and all her roommates are splitting that evenly, what do you think each person would pay for the whole year?

[User] Okay, so, there are 5 people altogether, right? If they're dividing $1200 by 5, then, um, each person would pay $240 for the whole year.

[Assistant] That's spot on! So each roommate, including Jenna, will pay $240 for electricity for the year. Great job! You're really getting the hang of this.


[Assistant] So, can you tell me how fast the Llesis family drove?

[User] Yeah, they drove 50 miles per hour, so for hiking... uh, is it 45 miles per hour?

[Assistant] That's an interesting idea. But let's double-check. It says they hiked at an average that's 5 miles per hour less than half their driving speed. How would you get half their driving speed and then take away 5 miles per hour?

[User] Oh, wait, I think I messed that up. Okay, half of 50 is 25, and if I subtract 5 from that, their hiking speed should be 20 miles per hour.

[Assistant] Exactly, you caught your mistake. So, if they're hiking at 20 miles per hour and they hiked for 1.5 hours, how far did they go on foot?

[User] Uh, I think they hiked 40 miles? I just multiplied the speed and the time.

[Assistant] That's right! That's how you get the distance. So, if they hiked 40 miles, can you figure out how long they spent driving if the whole trip was 6 hours?

[User] So, they drove for 4.5 hours, right? 'Cause, like, you just subtract the hiking time from the total time.

[Assistant] You got it. Now, let's find out how far they drove. If they spent 4.5 hours driving at 50 miles per hour, what's the distance they covered?

[User] To get that, I just multiply the hours driving by the speed, so 4.5 times 50... that's 225 miles.

[Assistant] Nicely done. We've got both distances now, hiking and driving. So, how would you figure out how far away their vacation spot actually was?

[User] So, I, I just add the two distances, right? Like, 40 miles hiking and 225 miles driving. That makes... uh, 265 miles total.

[Assistant] Exactly! You calculated both parts and added them together, which is perfect. So, can we confirm the Llesis family's vacation spot was 265 miles from where they started?


[Assistant] So, how many fourth graders passed?

[User] I, uh, I don't really care about these numbers.

[Assistant] I get that the numbers might feel a bit much, but they're actually key to solving this. We've got info about the third and fourth graders already, but to figure out the school's overall pass rate, we also need to know how many fifth graders passed. So, let's try to work that out. What's the pass rate for the fifth graders?

[User] Would the fifth graders' pass rate be, like, double the fourth graders'? Right?

[Assistant] Exactly. The problem said the fifth graders' pass rate is twice what it was for the fourth graders. So, can you figure out how many fifth graders passed with that in mind?

[User] I'm not really sure how to figure out how many fifth graders passed.

[Assistant] That's okay, we'll go through it together. So, we know the fourth graders had a pass rate of 40 out of 100, right? If the fifth graders' pass rate is double that, wouldn't that mean it's two times the fraction of fourth graders who passed?

[User] If it's double, uh, does that mean two times 40 out of 100? But how do we use that for the fifth graders, there are, like, 400 of them, right?

[Assistant] That's right, there are 400 fifth graders. When we say double the pass rate, it's double the fraction, so two times 40 out of 100. What does that give you? And then, how would you use that to find out how many fifth graders passed?

[User] Okay, I think I've got it. If the fraction is doubled, it's 2 times 40 divided by 100, which is 0.8. And if I use that with the fifth graders, that means 0.8 times 400 is 80. So, is it 80 fifth graders who passed?

[Assistant] You're really close! You've got the right fraction, but let's double-check the math. What's 0.8 times 400?

[User] Oh, I messed that up. 0.8 times 400 is 320. So, 320 fifth graders passed.

[Assistant] Exactly, that's it! Nice job. Now that we've got the number of students who passed in each grade, what do you think is the next step to find the total number of students who passed?


[Assistant] So, how high do you think Saskay can lift a mountain?

[User] Uh, 12 inches... is that right?

[Assistant] Exactly! Saskay can lift a mountain 12 inches high. Now, with that in mind, do you think you could figure out how high Kagiyami can lift a mountain?

[User] I'm not really sure how to find out how much Kagiyami can lift.

[Assistant] That's totally fine, let's work through it together. Remember, Kagiyami can lift a mountain that's 4 times higher than what Saskay can do. Since Saskay can lift 12 inches, what could you do to figure out Kagiyami's height?

[User] So, I, I multiply 12 inches by 4, right? Then Kagiyami can lift 48 inches high.

[Assistant] Great job! That's exactly it. Kagiyami can lift a mountain 48 inches high. Now, let's see how high Naruto can go. If Naruto can lift a mountain ten times higher than Kagiyami, what should we do next?

[User] So Naruto can lift a mountain 480 inches high.

[Assistant] That's right! Naruto can lift a mountain 480 inches high. Now, can we turn that into feet? Do you remember how many inches make up a foot?

[User] I'm not sure, so we divide 480 by 12, right? That would be 40 feet.

[Assistant] Brilliant! You did it perfectly. So, Naruto can actually lift a mountain 40 feet high. You're really getting the hang of these kinds of problems. Is there anything else you'd like to go over or any other questions you have?


[Assistant] Alright, can you tell me how much Iris spent on a manicure?

[User] Um, is it a hundred dollars? Like, 'cause 4 minus 1 is 3?

[Assistant] I see how you tried to use subtraction there. But since the problem says she spent one-fourth as much on the manicure as she did on her hair, we need to use division instead. So, if she spent four hundred dollars on her hair, what would one-fourth of that be?

[User] Oh, okay, I get it now. If I divide 400 by 4, that’s 100. So she spent a hundred bucks on the manicure.

[Assistant] That’s exactly right! Now, let’s move to the next step. If we add the price of the hair and the manicure together, how much has Iris spent so far?

[User] So, five hundred, right? 'Cause 400 plus 100 is 500.

[Assistant] Great job, you’ve got it! Now, what about the pedicure? The problem says it cost three-fourths as much as the manicure. How much would that be?

[User] Well, using the same idea, 100 divided by 4 is 25. Then, if I multiply that by 3, it should be 50. So... she spent fifty bucks on the pedicure?

[Assistant] You're really close, but I think there might be a small mixup in your calculation. If you multiply 25 by 3, do you get 50, or is it a different number?

[User] Oh, oops, sorry. If I actually do 25 times 3, I get 75. So she spent seventy-five dollars on the pedicure.

[Assistant] That's right! Nice job fixing that. So now that we know the costs for the hair, manicure, and pedicure, can you add them all up to figure out how much Iris spent at the spa?

[User] Yeah, so if I add 400, 100, and 75, I get 575. So, she spent $575 at the spa.

[Assistant] Excellent work! You added up everything correctly: the hair for $400, the manicure for $100, and the pedicure for $75. Putting it all together, Iris spent $575 at the spa. So, how does adding up all these parts help us answer the original question?


[Assistant] So, can you tell me how many pages Denise read today?

[User] Uh, let me think... thirteen plus five, that's seventeen, right?

[Assistant] Yep, that's right! Denise read seventeen pages today. Now, can you figure out how many pages she read altogether?

[User] Yeah, so she read ten pages yesterday, and then seventeen today, so, uh, Denise read twenty-seven pages total.

[Assistant] Exactly, you've got it! Denise read twenty-seven pages in all. Now, can you work out how many more pages Denise read than Daniel?

[User] Okay, so Daniel read thirteen pages yesterday, and Denise read twenty-seven in total. That means Denise read, um, fourteen more pages than Daniel.

[Assistant] That's correct! Denise really did read fourteen more pages than Daniel. Nice job figuring that out!


[Assistant] So, how many trips do you think he can make in 8 hours?

[User] Uh, I'm kinda confused... How does the time actually, like, connect to how many berries he's picking up?

[Assistant] Let's break it down together. If it takes him 4 hours for one round trip, can you figure out how many trips he'd get done in 8 hours?

[User] Okay, I think I get it. So if one trip is 4 hours, that means in 8 hours, he could make, like, two trips, right?

[Assistant] Exactly! So now that we know he can make two trips in 8 hours, how many berries would he need to gather each time to reach a total of 24 berries?

[User] Oh, wait, I messed up earlier. I said he should get 12 berries each trip, but I meant, uh, 24 berries for each trip.

[Assistant] You're really close! If he can make two trips, and he needs to collect 24 berries in total, how many does he need per trip? Maybe try dividing 24 by the number of trips.

[User] Oh, oops, yeah, I got mixed up. So it's 24 divided by 2, which is 12. That means he needs to pick 12 berries each time.

[Assistant] That's it! If he makes two trips in 8 hours and needs 24 berries, he'll have to collect 12 berries on each trip. Does that whole process make sense now?


[Assistant] So, do you know how old Corey is?

[User] Uh, is Corey older than Amy?

[Assistant] Yeah, Corey's older than Amy. Can you remember by how much? That might help you figure out Corey's age, especially if you know how old Amy is. Or maybe think about James's age. Is there something about James's age that could help you work out Corey's age?

[User] I, I don't really get it. James is older than Corey, right?

[Assistant] Not quite. Actually, Corey's one year older than James. Do you know how old James is? That could help you figure out Corey's age.

[User] Oh, wait, I messed up. So, Corey's one year older than James... James is 10... So Corey's 11?

[Assistant] Exactly! Corey's 11 years old. Nice work figuring that out. But let's get back to the original question. We're trying to find out how old Jackson is. Now that you know Corey's age, can you work out how old Amy is?

[User] I'm not really sure how to find Amy's age from Corey's age. Can you help me out?

[Assistant] Of course, I can help with that. Amy's age is related to Corey's, right? The problem says Amy is a certain number of years younger than Corey. Do you remember how many years younger Amy is compared to Corey?

[User] So Amy's 2 years younger than Corey? That means Amy is 9 years old.

[Assistant] That's right! Amy's 9 years old. Now, just one more step. How old do you think Jackson is, if Amy is 5 years older than him?

[User] I think... Jackson's younger than Amy, so, uh, I have to subtract 5 from Amy's age? That'd make Jackson 4 years old?

[Assistant] That's absolutely right! Jackson is 4 years old. You did a great job working through all the steps to figure out the kids' ages. Does it all make sense now?


[Assistant] So, how much do you think he'll get from selling 6 copies of the New York Times?

[User] Uh, I'm not really good at percentages, honestly.

[Assistant] That's totally fine, let's break it down together. So, if one copy of the New York Times costs $5 and he gets a 10% commission on each one, how much would he make just from selling a single copy? Then we can use that to figure out what he'd earn from selling 6 of them.

[User] I'm not sure how to work out the commission part. Like, what does 10% of $5 actually mean?

[Assistant] Great question! So, when we're talking about a percentage, we're really just talking about a part of the total. For 10% of $5, you could also think of it as one tenth of $5. Can you think of a way to find out what one tenth of something is?

[User] Uh, if we divide $5 by 10, we get 10% of $5, right? So, he'd earn 50 cents from selling one copy. And then, for 6 copies, that'd be $3 in total.

[Assistant] Exactly, that's spot on! Now, do you want to try using the same method to figure out how much he'll make from selling 10 copies of the Wall Street Journal?

[User] Oh, okay, I think I get it! So, if I divide $15 by 10, that's $1.50, which is 10%. But since his commission is 8%, I guess I need to multiply $1.50 by 0.8, so he'd get $1.20 for each Wall Street Journal he sells. That means for 10 copies, he'd earn $12.

[Assistant] Nicely done! So, we've got $3 from selling the New York Times and $12 from the Wall Street Journal. Now, if we want to find out his total commission from all these sales, what should we do next?

[User] We just add those together, right? So, he'll make $15 in commission from selling all those newspapers.

[Assistant] That's absolutely right! You really nailed how to work out the percentages and add them up for the total commission. Great job! Is there anything else you want to go over or any other questions you have?


[Assistant] So, how much do all the books Tyler wants cost together?

[User] Uh, I'm not really sure. Do I just, like, add up all the prices?

[Assistant] Yep, that's exactly right! If Tyler wants to get all those books, what do you get when you add them up?

[User] Alright, so if I add $18, $13, and $8, I think that comes out to $39.

[Assistant] That's correct! Now that you know the total cost of the books, how much more does Tyler need if he's already saved $14 from his allowance?

[User] I, I don't really know how to figure out how much more he needs.

[Assistant] No worries! Let's walk through it. You just found the total price for all the books, and you know what he's already saved. So if you subtract what he has from the total, you'll find out how much more he needs. Want to give that a try?

[User] Okay, I'll try to subtract it... but I might mess it up. So, $39 minus $14 is $35, right?

[Assistant] You're close, but it looks like there might've been a little mistake there. Could you try subtracting $14 from $39 one more time?

[User] Oh, okay, let me try again. Is it $25?

[Assistant] That's right! Tyler still needs $25 to buy all the books. For the last part, if he earns $5 an hour, how many hours does he need to work to make that $25?

[User] So if he gets $5 every hour, then he has to work for 5 hours to get $25.

[Assistant] Exactly! If Tyler earns $5 an hour and needs $25 more, working 5 hours will get him there. Nicely done figuring that out!


[Assistant] So, what do you think the average age of the kids is?

[User] Uh, do I just add them up and then divide by, like, three?

[Assistant] You're really close, but remember, we're looking at four kids here, not three. So, if you know all their ages add up to 20, how would you figure out the average for four kids?

[User] Oh, right! If I need the average for four kids and the total is 20, I should just do 20 divided by 4. So, uh, the average age is 5 years old.

[Assistant] That's right, good job! Now, if Helene is twice as old as the average age of the group, what does that make her age?

[User] Okay, so if Helene is twice as old as the average and the average is 5, then she's 10 years old.

[Assistant] Exactly! Now we know how old Helene is. If you add up Akbar's, Alessandro's, and Helene's ages, what do you get for those three together?

[User] Let's see, Akbar is 3, Alessandro is 4, and Helene is 10. So, um, if I add those, that's 17 years all together.

[Assistant] That's perfect! Now, since all four kids together are 20 years old, and those three add up to 17, how old does that make Wilfred?

[User] So, if they're all 20 and those three are 17, then Wilfred must be 3 years old, because 20 minus 17 is 3.

[Assistant] That's exactly right! You got it. Wilfred is 3 years old. We worked through the whole problem step by step. Anything else you want to ask about this?