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A grocery store sells one case of juice for $12. They sell 15 cases a day. How much money will the grocery store make in 2 weeks? Answer: There are 15 cases * 7 days * 2 weeks = <<15*7*2=210>>210 cases in 2 weeks. The store makes 210 cases * $12/case = $<<210*12=2520>>2520. #### 2520 Question: A grocery store sells o...
It takes 42 minutes for 2 people to paint 6 walls. How many minutes does it take 3 people to paint 9 walls? Answer: First, find how many minutes it takes for 1 person to paint 6 walls: 42 minutes / 2 people = 21 minutes Next, find how many minutes it takes for 1 person to paint 1 wall: 21 minutes / 6 walls = 3.5 minu...
The distance from the Earth to the Moon is about 238,900 miles. If a rocket traveled at a speed of 4,000 miles per hour, how long would it take to reach the Moon? Answer: 238,900 miles / 4,000 miles per hour = <<238900/4000=59.725>>59.725 hours #### 59.725 Question: A local bakery had 336 cupcakes to sell on Saturday...
A rectangular wall for the new home is going to be twenty-eight inches high and 42 feet long. What is the area of this rectangle? Answer: The area of the rectangle is equal to 28 inches * 42 feet. There are 12 inches in a foot, so the area of the rectangle is equal to 28 inches * 42 feet * 12 inches/foot = <<28*42*12...
The sum of two numbers is 100. The first number is 20 more than the second number. What are the two numbers? Answer: Let x be the second number. Then the first number is x + 20. The sum of the two numbers is 100, so x + (x + 20) = 100. Simplifying, we get 2x + 20 = 100. Subtracting 20 from both sides, we get 2x = 80....
A grocery store sells one case of soda for $17, while a restaurant next door sells it for 20% more. How much would one case of soda cost at the restaurant? Answer: 20% of $17 is 17 * 20/100 = 17 * 0.2 = 3.4 The cost at the restaurant is $17 + $3.4 = $<<17+3.4=20.4>>20.4 #### 20.4 Question: A group of friends order 5 ...
A tank has a capacity of 18 gallons. If each bucket has a capacity of 2 gallons, how many buckets are needed to fill up the tank? Answer: To find the number of buckets needed, divide the tank's capacity by the capacity of each bucket: 18 / 2 = <<18/2=9>>9 buckets #### 9 Question: Mary has 400 marbles and she lost 35 ...
In a bag, there are 5 red marbles, 2 green, 4 yellow and 3 blue. What fraction of the marbles are red? Answer: There are 5+2+4+3 = 5+2+7 = 5+9 = 14 total marbles. The fraction of the marbles that are red is 5/14 #### 5/14 Question: On a certain day, the temperature at 8 AM was 47 degrees. By 4 PM the temperature was ...
A chef served 32 customers on Monday, and each customer bought 3 different dishes. On Tuesday, the chef served 40 customers, and each customer bought 4 different dishes. How many dishes did the chef serve on Monday and Tuesday altogether? Answer: On Monday, the chef served 32 * 3 = <<32*3=96>>96 dishes On Tuesday, th...
A horse eats 5 pounds of oats twice a day. How many pounds of oats will 4 horses eat in 3 days? Answer: A horse eats 5 pounds of oats twice a day, so it eats 5 x 2 = <<5*2=10>>10 pounds of oats each day. Four horses eat 4 x 10 = <<4*10=40>>40 pounds of oats each day. In three days, the four horses eat 40 x 3 = <<40*3...
A grocery store has a rectangular parking lot that has 12 parking spaces in a row. The parking spaces are twice as long as they are wide, and they are 10 feet wide. If 2 of the spaces are painted red, how many feet does the red section take up? Answer: If the width of each space is 10 feet, then the length of each sp...
The distance between two stations is 200 miles. If it takes a train 5 hours to travel from station A to station B, at what speed does the train travel? Answer: 200 miles / 5 hours = 40 miles/hour #### 40 Question: There are 30 students in a classroom. 5 students left the classroom, and 8 more students entered via the...
A toy store has a beginning inventory of eight sets of paints at a cost of $1.25 each. During the year, the toy store purchased three at $1.50, five at $2, six at $2.50, and ten at $3. By the end of the year, 21 sets were sold. Calculate the cost of goods sold for the sets of paints. Answer: The toy store sold 21 set...
Carl is trying to open a safe. The combination of the safe is a 6 digit number. The first 4 digits are 3614. The last 2 digits are obtained by calculating (4! + 7!)/12. What is the 6-digit combination? Answer: 4! = 4*3*2*1 = 24 7! = 7*6*5*4*3*2*1 = 5040 (4! + 7!) / 12 = (24 + 5040) / 12 = 5064 / 12 = 422 Thus, the la...
A certain company bought 6 boxes of pens to give to its office workers. Each box contains 10 pens. How many pens did the company buy? Answer: There are 10 pens in each box, and there are 6 boxes, so there are 10*6 = <<10*6=60>>60 pens. #### 60 Question: A pizza store is having a sale on a three topping pizza. The sto...
Ben has a budget of $2000 for his trip to Australia. If he allocates 30% of his budget to his flights, 20% to his hotel, and the rest to food and souvenirs, how much did he spend on each? Answer: Ben's budget is $2000 30% of $2000 is 0.3 * $2000 = $<<0.3*2000=600>>600 20% of $2000 is 0.2 * $2000 = $<<0.2*2000=400>>40...
Sam is filling holes with cement to make footings for his deck. Each hole is 1.5 feet deep, 4 feet wide, and 4 feet long. Each 80-pound bag of pre-mixed cement contains enough to fill 0.5 cubic feet. How many 80-pound bags of cement does Sam need for each footing? Answer: Each hole has a volume of 1.5 x 4 x 4 = <<1.5...
Mary's new rectangular garden is 20 meters long and has a perimeter of 56 meters. How wide is Mary's garden? Answer: The perimeter of a rectangle is equal to twice the sum of the length and the width. The width of the garden is (56 / 2) - 20 = <<(56/2)-20=8>>8 meters. #### 8 Question: The perimeter of a square is 12 ...
Each table in the cafeteria seats 8 people. Find the total number of people that can be seated at 7, 8, 9, and 10 tables if the tables are placed in a row. How would you solve the problem? Answer: Multiply the number of tables by 8 to find the number of people that can be seated at each number of tables. #### 8 * 7 ...
A grocery store sells oranges for $0.50 each, apples for $0.75 each, and bananas for $0.40 each. One day, they sold 50 oranges, 40 apples, and 60 bananas. How much money did the store make from selling these fruits? Answer: The store made 50 * $0.50 = $<<50*.50=25>>25 from selling oranges, 40 * $0.75 = $<<40*.75=30>>...
A scientist has a 10-ounce bottle of a solution that is 30% acid and 70% water. They want to dilute the solution by adding water to the bottle so there will be 20% acid in the solution. How many ounces of water must be added to the bottle to accomplish this? Answer: If the bottle contains 10 ounces of solution, then ...
Each year, a farmer must bring 50 pigs to the market. If he has 12 more pigs than cows and 3 more cows than horses, how many horses must he bring to the market? Answer: Let x be the number of horses. The number of cows is x+3. The number of pigs is x+3+12 = x+15. Thus, x+x+3+x+15 = 50 3x+18 = 50 3x = 50-18 3x = 32 x ...
A rectangular prism has a volume of 180 cubic meters. If the length is 12 meters and the width is 5 meters, what is the height of the prism? Answer: To find the height, we can use the formula for the volume of a rectangular prism: V = lwh, where V is the volume, l is the length, w is the width, and h is the height. W...
The average age of a 10-person committee is the same as it was 4 years ago, a year ago when an old member was replaced by a new member. How much younger is the new member than the old one he replaced? Answer: The total age of the 10 members 4 years ago was 10 times the average age. The total age of the 10 members tod...
A rectangular prism has dimensions 5 by 6 by 7. What is its volume? Answer: The volume of the rectangular prism is 5 * 6 * 7 = <<5*6*7=210>>210 #### 210
The price of a shirt is $100. The price of a jacket is twice that of the shirt and the price of a pair of jeans is thrice that of the shirt. What is the total price of all three items? Answer: The price of the shirt is $100 The price of the jacket is $100*2 = $<<100*2=200>>200 The price of the pair of jeans is $100*3...
A recipe requires 3.5 pounds of flour. If Christian is making the recipe one and a half times, how many ounces of flour does he need? Answer: One and a half times the original recipe requires 3.5 * 1.5 = <<3.5*1.5=5.25>>5.25 pounds of flour. There are 16 ounces in one pound, so 5.25 pounds is equal to 5.25 * 16 = <<5...
A new community center was built 5 years ago. How old will this community center be 8 years from now? Answer: The community center was built 5 years ago, so it is currently 5 years old. In 8 years, it will be 5 + 8 = <<5+8=13>>13 years old. #### 13 Question: The sum of two numbers is 20. If one of the numbers is 2, w...
A new railway line between two cities is planned. It will run for 188 kilometers and will be constructed at an average cost of $3,000,000 per kilometer. What will be the total cost of constructing this railway line? Answer: The total cost of constructing the railway line is 188 * $3,000,000 = $<<188*3000000=564000000...
Peter's father has 2 children, Peter and Mary. Peter has 4 siblings. How many people are in Peter's family? Answer: Peter's father has 2 children, Peter and Mary, so there are 2 + 1 = <<2+1=3>>3 people in Peter's family. Peter has 4 siblings, so there are 3 + 4 = <<3+4=7>>7 people in Peter's family. #### 7 Question: ...
A local bakery sells cupcakes in boxes of 12. If they sold 240 cupcakes in a day, how many boxes did they sell? Answer: To find the number of boxes sold, we divide the total number of cupcakes by the number of cupcakes in each box: 240 cupcakes / 12 cupcakes per box = 20 boxes #### 20 Question: A local bakery sells c...
A grocery store had 100 bottles of regular soda, 50 bottles of diet soda, and 75 bottles of water in stock at the end of the day. How many bottles did they have in stock? Answer: There are 100+50+75 = <<100+50+75=225>>225 bottles in stock. #### 225 Question: A group of friends order 5 pizzas and 3 orders of breadstic...
A horse is 18 inches tall, and its rider is 65.5 inches tall. Together, they stand on a bridge that is 30 feet above the river. How far are the top of the horse's head and the top of the rider's head from the river, in feet? Answer: The total height of the horse and its rider is 18 + 65.5 = 83.5 inches. To convert in...
Mr. Smith is organizing a group of 500 people to visit a museum. He decides to split them into as many groups of 30 people as possible, with the remainder forming a smaller group. How many groups of 30 people will there be? Answer: We can divide 500 by 30 to find the number of groups of 30 people: 500 / 30 = 16 with ...
There are 20 more horses than cows in a field. There are 45 animals in total in the field. How many horses are there? Answer: Let C be the number of cows. There are 20 more horses than cows, so there are C+20 horses. The total number of animals is 45, so C+C+20 = 45 Solving for C, we get C = 12.5. However, since we c...
If a person sends out 4 invitations to a party via email, and each invited person forwards the email to 4 other people, and this process continues for 3 iterations, how many emails will have been sent out in total? Answer: In the first iteration, the initial person sends out 4 emails. In the second iteration, each of...
The cost of one pair ofsocks is $1.50. A package of 3 pairs cost $3.75. How much will you save when you buy 5 pairs at the package price? Answer: If you were to buy 5 pairs of socks individually, you would pay $1.50 per pair, so 5 * $1.50 = $<<5*1.5=7.5>>7.50. However, if you buy them in packages of 3, you would only...
A truck is delivering produce to a grocery store. The store needs at least 350 pounds of produce to fill its shelves. The truck has a weight limit of 450 pounds. The produce comes in crates that weigh 50 pounds each. There are 5 crates of lettuce in the truck and 4 crates of tomatoes in the truck. How many more crates...
If a bag of Reese's is $3.00 and a 4 pack of Starburst is $2.50, how much would it cost to buy 50 bags of Reese's and 100 packs of Starburst? Answer: First, find the total cost of the Reese's: 50 * $3.00 = $150.00 Next, find the total cost of the Starburst: 100 * $2.50 = $250.00 Now, add the total cost of the Reese's...
A local farmer's market sold 120 apples on Thursday. On Friday, they sold 15 more than twice the amount they sold on Thursday. How many apples did the market sell on Friday? Answer: The number of apples sold on Friday was 15 more than twice the number of apples sold on Thursday. Twice the number of apples sold on Thu...
A store owner is having a going-out-of-business sale. All items cost 20% less than the price displayed. A table is on sale for $120. What was the original price? Answer: Let P be the original price. 20% less than P is equal to $120, which can be written as 0.80P = $120. Dividing both sides by 0.80 gives P = $120 / 0....
In a video game, there are three levels. The number of points you need to pass level 1 is 20, for level 2 it is 3 times more, and for level 3 it is 3 times more than level 2. How many points do you need to pass all three levels? Answer: To pass level 2, you need 3 * 20 = <<3*20=60>>60 points To pass level 3, you need...
Rachel is curious about the number of pets that people own. She surveyed her 20 classmates, asking them exactly how many pets they own. Rachel's data is shown below: Number of Pets 0 Pets 1 Pet 2 Pets 3 Pets Number of Classmates 9 6 1 4 What is the mean number of pets owned by Rachel's classmates? Answer: To find the...
A scientist walks at a speed of 3 miles per hour to the train station. He plans to arriving 1 hour before the train leaves. The train leaves at 9am. If he walks at a speed of 2 miles per hour, he will arrive 1 hour late. At what time should he start to get to the station at the right time? Answer: If he arrives 1 hou...
Emma and her brother both buy new pairs of shoes every 3 months. If they both started this year, how many pairs of shoes do they have at the end of the year? Answer: Emma and her brother both buy new pairs of shoes every 3 months, so they buy them 4 times a year. Since they both started this year, they have bought 4 ...
The price of a shirt was increased by 20%, then the new price was decreased by 20%. What was the overall percent change in the price of the shirt? Answer: Let the initial price be $100. After a 20% increase, the new price is $100 + 20% of $100 = $100 + $20 = $120. After a 20% decrease, the new price is $120 - 20% of ...
The average wait time on the phone for a customer service representative is 20 minutes. Today, Billy was 'on the line' for 48 minutes with his several 'hold' periods totaling 12 minutes. How much longer than average was Billy on the phone? Answer: Billy was on the phone for 48 minutes and the average wait time is 20 ...
The price of a shirt is $10. The price of a hat is $15. How much do a shirt and a hat cost? Answer: The cost of a shirt is $10 The cost of a hat is $15 The total cost of a shirt and a hat is $10+$15 = $<<10+15=25>>25 #### 25 Question: Two numbers are in the ratio 1:5. If 5 is added to both numbers, their ratio become...
There are 40 kids in a preschool. During playtime there are 20 kids in the large group and 30 kids in the small group. How many kids are in both groups at the same time? Answer: The total number of kids in the large and small groups is 20 + 30 = <<20+30=50>>50 Since there are 40 kids in total, the number of kids in b...
A professional basketball team has won 50 out of the 75 games played so far. The team still has 45 games to play. How many of the remaining games must the team win in order to win 60% of all games played during the season? Answer: The team has already won 50 games out of 75 games. The team has 45 games left to play, ...
If there are 12 months in a year, how many months are there in 5 years? Answer: There are 12 * 5 = <<12*5=60>>60 months in 5 years. #### 60
The population of a town increases by 20 people per year. If the population right now is 100 people, what will the population be in 5 years? Answer: If the population increases by 20 people per year, then in 5 years, it will increase by 20*5 = <<20*5=100>>100 people. The population in 5 years will be 100 + 100 = <<10...
If 2/3 of the seats in a theater were filled and 432 seats were empty, how many seats are there in the theater? Answer: Let x be the number of seats in the theater. The number of filled seats is 2/3 * x The number of empty seats is 432 The total number of seats is the sum of the filled and empty seats: x = 2/3 * x + ...
A new community center was built 5 years ago. How old will this community center be 3 years from now? Answer: The community center is 5 years old now. It will be 5 + 3 = <<5+3=8>>8 years old in 3 years. #### 8 Question: There are 500 zombies in a shopping mall. If the number of zombies doubles every day, in how many ...
There are 40 kids in a school. 35% of them are boys. How many are girls? Answer: 35% of 40 kids is 0.35 * 40 = <<0.35*40=14>>14 kids. There are 40 - 14 = <<40-14=26>>26 girls #### 26 Question: 20% of the teachers grade on a curve. If there are 70 teachers, how many grade on a curve? Answer: 20% of 70 teachers is 0.2...
The amount of time it takes to get to half of anywhere is half the amount of time it takes to get to anywhere. If it takes 2 hours to get to Florida from Miami, how much time has passed 20 minutes into the trip? Answer: 20 minutes is 1/3 of an hour. 1/3 of 2 hours is 2/3 hours. #### 2/3 Question: The sum of the digit...
The cost of one chocolate bar is $2. The store has a special promotion where if they sell more than 500 chocolate bars, each additional chocolate bar sold after the 500th one will be sold at a 50% discount. How much will be the cost for 1000 chocolate bars? Answer: The first 500 chocolate bars will cost 500 * $2 = $10...
On a certain day, the time from midnight to the moment it was 6 AM in New York City is the same as the time from the moment it was 6 PM to the midnight in Beijing. If there is an 8-hour difference between New York City time and Beijing time, how many hours are there in one day in Beijing? Answer: Let x be the number ...
A grocery store sells one third of its apples to customers on the first day, then sells 50% of the remaining apples on the second day, and then has exactly 300 kilograms of apples left. How many kilograms of apples did the store have at first? Answer: If the store has 300 kilograms of apples left, this is half of the...
Two painters were hired to paint a building. The first painter could do it himself in 7 hours and the second painter could do the job himself in 5 hours. If the two painters work together, how long will it take the two painters to do the job? Answer: The first painter can do 1/7 of the job in 1 hour, and the second p...
Mike is a salesperson at a large home electronics store. He makes a commission of 7% on everything he sells. If he sells a laptop for $599.99, how much money does Mike make? Answer: $599.99 * 0.07 = $<<599.99*0.07=41.999300000000004>>42.00 #### 42.00 Question: If the temperature is 28°F in the morning and it drops by...
Ethan goes to the library regularly, every 4 days. His friend, Luka, goes to the same library regularity, every 6 days. If they both went to the library on December 31, 2021, what would be the next three dates where both Ethan and Luka go to the library? Answer: The first date would be the least common multiple of 4 ...
If each orange slice costs 30 cents, how much will Mary spend if she wants 3 oranges? Answer: Since 1 orange costs 30 cents, then 3 oranges will cost 3 * 30 cents = <<3*30=90>>90 cents #### 90 Question: If the red bus passes by every 15 minutes and the blue bus passes by every 20 minutes, how many times will they pas...
It takes 4 liters of paint to paint a cube, each side of which is 6 cm. If you double the dimensions of this cube to make a new cube, and you want to paint it with the same thickness of paint as the first cube, how many liters of paint will you need? Answer: The cube has 6 sides, each of which is 6 cm x 6 cm = 36 cm^...
Emma's garden has an area of 40 square feet. She wants to plant 4 different types of vegetables: tomatoes, cucumbers, lettuce, and peppers. She wants to allocate 50% of the garden for tomatoes, 25% for cucumbers, 15% for lettuce, and the remaining area for peppers. If tomatoes require 1 square foot per plant, cucumber...
A scientist has a flask that can hold 150 milliliters of a solution. She also has two other flasks, one that can hold 100 milliliters and another that can hold 50 milliliters. She fills each of the flasks with a solution. How many milliliters of solution does the scientist have in total? Answer: The scientist has 150...
Bob can read 30 pages in 60 minutes. If Bob reads 10 pages per page, how many pages can he read in 180 minutes? Answer: Bob can read 30 pages in 60 minutes. In 180 minutes, he can read 30 x 3 = <<30*3=90>>90 pages. If Bob reads 10 pages per page, then he can read 90 / 10 = <<90/10=9>>9 pages in 180 minutes. #### 9 Qu...
90% of the animals in an animal rescue are dogs and the rest are cats. If there are 180 animals in the rescue, how many of them are cats? Answer: 90% of the animals in the animal rescue are dogs, so 100% - 90% = 10% of the animals are cats. 10% of 180 is 180 x 0.1 = <<180*0.1=18>>18 cats #### 18 Question: There is a ...
A grocery store sells one third of its strawberries by the end of the day. The grocery store replenishes their stock of strawberries with 80% of the sold strawberries. The next day, they sell one third of their strawberries again. Then, they are left with 18 kg of strawberries at the end of the day. How many kg of str...
A grocery store sells one case of soda for $17, while a drink factory sells a can of soda for $1.25. How much more money does the store make per can? Answer: There are 24 cans in a case, so the store makes 24*17 = $<<24*17=408>>408 for a case of soda. The factory makes 1.25 per can, so for 24 cans, they make 24*1.25 ...
A rectangular garden has a length of 12 feet and a width of 8 feet. A path of uniform width is to be built around the garden, increasing the total area to 200 square feet. What is the width of the path? Answer: The area of the garden is 12 feet * 8 feet = 96 square feet. The total area including the path is 200 squar...
Alice has 15 apples and Bob has 20 apples. If they put all the apples together and divide them equally, how many apples will they each have? Answer: Alice has 15 apples and Bob has 20 apples. If they put all the apples together, they will have 15 + 20 = <<15+20=35>>35 apples. If they divide them equally, each will ha...
The distance between two stations is 200 kilometers. A bus takes 5 hours to cover this distance. How fast does the bus travel? Answer: The bus travels 200/5 = <<200/5=40>>40 kilometers per hour. #### 40 Question: A swimming pool is 100 meters long. How many times must George swim back and forth to make a distance of ...
A group of friends get together to play video games and pool. The ratio of video games to pool is 4:1. If 16 video games were played, how many games of pool were played? Answer: If the ratio of video games to pool is 4:1, then for every 4 video games played, there is 1 game of pool. Since 16 video games were played, ...
There are 144 crayons in a box. Lisa bought 5 boxes of crayons, and Jack bought 6 more boxes of crayons than Lisa. How many crayons do Lisa and Jack have in total? Answer: Lisa bought 5 boxes of crayons, and each box contains 144 crayons. Therefore, Lisa has 5 * 144 = <<5*144=720>>720 crayons. Jack bought 6 more boxe...
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 60% salt and Solution B is 85% salt. She wants to obtain 200 ounces of a mixture that is 70% salt. How many ounces of each solution should she use? Answer: Let x be the number of ounces of ...
A family just bought a house with a big yard for $500,000. They are backyard enthusiasts and spent $20,000 on extra sod, plants, and fences. After a year of enjoying their new yard, they sold it for $600,000. How much profit did they make? Answer: The family made a profit of $600,000 - $500,000 - $20,000 = $600,000 -...
There are 500 kids in camp. Half of the kids are going to soccer camp, and 1/4 of the kids going to soccer camp are going to soccer camp in the morning. How many kids are going to soccer camp in the afternoon? Answer: There are 500 kids in camp. Half of the kids are going to soccer camp. This means 500/2 = <<500/2=25...
A rectangular prism has a volume of 120 cubic centimeters. The length and height of the prism are 3 centimeters and 5 centimeters, respectively. What is the width of the rectangular prism in centimeters? Answer: The volume of a rectangular prism is given by the formula V = lwh, where V is the volume, l is the length,...
A grocery store sells one case of soda for $17, while a distribution company sells a case for $55. If a customer bought 3 cases of soda and saved a total of $111, how many cases did he or she buy from the grocery store? Answer: The customer saved $111 by buying 3 cases from the grocery store. Let's say that x is the ...
In a certain variety of rice, 40% of the grains have a oval shape and half of those have a golden color. How many grains does a 100 grains sample of this variety contain that don't have both the oval shape and the golden color? Answer: If 40% of the grains have a oval shape, then 100 grains * 40% = <<100*40%=40>>40 g...
A grocery store sells one case of water for $\$11$. Each case contains 24 boxes. How much money will the store earn on selling 13 cases? Answer: The store will earn $\$11 * 13 = \$<<11*13=143>>143$. #### 143 Question: In one day, the San Francisco Humane Society has 200 cats and 100 dogs. 70% of cats are adopted and 4...
One dozen of eggs cost $1.20. A customer bought 5 dozens of eggs. How much did the customer pay for the eggs? Answer: 1 dozen = 12 eggs 5 dozens = 5 * 12 = 60 eggs 60 eggs cost $1.20 * 5 = $<<1.20*5=6>>6 #### 6 Question: A bag of 10 oranges costs $3. How much do 2 dozen oranges cost? Answer: 2 dozens = 2 * 12 = 24 o...
A fruit salad is made up of cantaloupe, strawberries, and bananas. If a salad requires 1/6 of a cantaloupe, 2/3 of a strawberry, and 1/4 of a banana, how many whole fruits are needed to make two fruit salads? Answer: To make two fruit salads, you need 2*(1/6) = <<2*(1/6)=1/3>>1/3 cantaloupes You need 2*(2/3) = <<2*(2...
A fruit salad has the following ingredients: 2/5 of the salad is oranges, 1/6 of the salad is bananas, 2/15 of the salad is pineapples, and the rest of the salad is apples. What fraction of the fruit salad is apples? Answer: Let A be the fraction of the salad that is apples Then A + 2/5 + 1/6 + 2/15 = 1 Finding a com...
A basketball game is played between two teams, the Golden State Warriors and the Milwaukee Bucks. The game lasts for 48 minutes. The Warriors score 2 points every 3 minutes and the Bucks score 1 point every 2 minutes. At halftime, both teams have the same number of points. How many points does each team have at halfti...
A local farmer is trying to track the number of tomatoes growing on his tomato plant. On the first day, he counts 3 tomatoes. The next day, he notices that there are 3 times as many tomatoes as the day before. On the third day, he counts 3 times the tomatoes he counted on the day before. If this pattern continues, how...
A horse was about 1.9 meters tall. A giraffe was about twice as tall as the horse. A red kangaroo was about 0.2 meters taller than the horse. A skyscraper in New York City was about 300 meters tall. Complete the following sentences. The giraffe was about how many times as tall as the kangaroo? The skyscraper was abo...
Aimee, a collector of rare soothsayer's stones, bought 30 of them at a rate of 1.5 per dollar. She then sold them at a rate of 5 for 4 dollars. How much profit did she make in dollars? Answer: Aimee bought 30 stones at a rate of 1.5 per dollar, so she spent 30/1.5 = <<30/1.5=20>>20 dollars. She then sold the stones a...
Mary Ann is a road trip enthusiast who loves to drive non-stop for hours on end. She decided to take a road trip from New Jersey to Florida just for fun! It took her 11 hours to get there because she had to slow down several times due to traffic. At what average speed, in miles per hour, did she drive on this trip if ...
A rectangular prism has a volume of 180 cubic centimeters and dimensions of length 12 centimeters and width 5 centimeters. What is the height of the prism? Answer: The formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height. We know that V ...
A baker has ordered 280 pounds of flour for his cake business. He usually uses 16 pounds of flour every 12 days. How many days will the baker have enough flour for? Answer: The baker uses 16 pounds of flour every 12 days, which is 16/12 = <<16/12=1.3333333333333333>>1.33 pounds of flour per day. The baker has 280 pou...
A bucket holds 8,000 cm^3 of water. How many liters of water is this? Answer: 1000 cm^3 = 1 liter 8,000 cm^3 = 8,000/1000 = <<8000/1000=8>>8 liters #### 8 Question: If a car drives at a speed of 50 miles per hour for 4.5 hours, how many kilometers will it travel? (Note: 1 mile = 1.60934 kilometers) Answer: The car w...
A grocery store sells a 7 ounce bag of raisins for $1.10 and a 9 ounce bag of raisins for $1.46. Which size bag has the lowest price per ounce? Answer: The price per ounce of the 7 ounce bag is $1.10 / 7 ounces = $<<1.10/7=0.15714285714285715>>0.15714285714285715 per ounce. The price per ounce of the 9 ounce bag is $...
Each table in the cafeteria seats 8 people. Find the total number of people that can be seated at 7, 8, 9, and 10 tables. If the average bill per person is $12, how much money can the cafeteria expect from 7, 8, 9, and 10 tables that have no empty seats? Answer: The total number of people that can be seated at 7 tabl...
If 1000 people visited the book fair, one-third of whom were adults, and each adult could take two children, how many books were sold if only half of the adults and three-quarters of the children bought one book each? Answer: The number of adults is 1000 * 1/3 = <<1000*1/3=333.3333333333333>>333.3333333333333, or app...
A grocery store sells one case of juice for $12. It is going to reduce the price of the case of juice by $2 each week for 4 weeks. How much will a case of juice cost after 4 weeks? Answer: The price of a case of juice will be reduced by $2 each week for 4 weeks, so the total reduction will be $2 x 4 = <<2*4=8>>8 Thus...
A grocery store sells one case of juice for $12. They sell 15 cases a day. How much will the grocery store earn in 2 weeks? Answer: The grocery store will earn $12 * 15 = $<<12*15=180>>180 each day. In 2 weeks, they will earn $180 * 14 = $<<180*14=2520>>2520. #### 2520 Question: One blade of a fan is parallel to the ...
Paul has a 30-page storybook. He read 1/3 of the book on Saturday. He then read the rest of the book on Sunday. How many pages did he read on Sunday? Answer: First find how many pages he read on Saturday: 30 * 1/3 = <<30*1/3=10>>10 pages Then find how many pages are left in the book after Saturday: 30 - 10 = <<30-10=...
12 years ago, the age of P was 3 times the age of Q. At present, P is 24 years old. What is the present age of Q? Answer: Let Q's age 12 years ago be x Then P's age 12 years ago was 3x Thus 3x = 24 - 12 3x = 12 x = 12/3 = 4 Q's present age is 4 + 12 = 16 #### 16 Question: A school has 800 students. If 25% of the stud...