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A bus has a capacity of 200 people. If it carried 3/4 of its capacity on its first trip from city A to city B and 4/5 of its capacity on its return trip, calculate the total number of people the bus carried on the two trips? | From city A to city B, the bus carried 3/4*200 = <<3/4*200=150>>150 passengers
On the return trip, the bus carried 4/5*200 = <<4/5*200=160>>160 passengers
In total, the bus carried 160+150 = <<160+150=310>>310 passengers.
#### 310 |
Walter fell from the eighth platform of some scaffolding and fell past David after falling 4 meters. If he fell for an additional three more times that depth before hitting the ground, and the platforms are evenly spaced out in height, what platform was David on? | Walter fell 4 meters and an additional three times that depth which is 3*4 = 12 meters
He fell for a total of 4+12 = <<4+12=16>>16 meters
The eighth platform is 16 meters high and the platforms are evenly spaced so each platform is 16/8 = <<16/8=2>>2 meters high
David was located 4 meters below the 16 meter level which... |
Ms. Alice can grade 296 papers in 8 hours. How many papers can she grade in 11 hours? | First you must recognize that the problem involves finding the rate of how fast Ms. Alice can grade papers. To find how many papers she can grade in 11 hours, it would be useful to first find out how many papers she can grade in one hour. To do so, divide 296 papers by 8 hours, 296/8, to get 37. Therefore, Ms. Alice ca... |
James has a rainwater collection barrel. For each inch of rain he collects 15 gallons. On Monday it rained 4 inches and on Tuesday it rained 3 inches. He can sell water for $1.2 per gallon. How much money did he make from selling all the water? | It rained 3+4=<<3+4=7>>7 inches
So he collected 7*15=<<7*15=105>>105 gallons
So he makes 105*1.2=$<<105*1.2=126>>126 from selling the water
#### 126 |
Three cats sat on a fence, meowing at the moon. The first cat meowed 3 times per minute. The second cat meowed twice as frequently as the first cat. And the third cat meowed at one-third the frequency of the second cat. What is the combined total number of meows the three cats make in 5 minutes? | The second cat meowed twice as frequently as the three meows per minute from the first cat, for a total of 2*3=<<2*3=6>>6 meows per minute.
The third cat meowed at one-third the frequency of the second cat, for a total of 6/3=<<6/3=2>>2 meows per minute.
Thus, combined, the three cats meow 3+6+2=<<3+6+2=11>>11 times pe... |
Antonia is trying to improve her health by buying supplements. She has a 7-day pill box she wants to fill. She buys 5 different supplements. 3 of the bottles have 120 pills in them each. 2 of the bottles have 30 pills each. After Antonia has filled her pillbox with one pill of each supplement for 2 weeks, how many pill... | Antonia buys 5 different supplements where 3 bottles have 120 pills per bottle, so she has 120 pills x 3 bottles = 360 pills.
2 of the bottles Antonia buys have 30 pills each x 2 bottles = <<30*2=60>>60 pills.
She has purchased 360 pills + 60 pills = <<360+60=420>>420 pills total in the 5 bottles.
Antonia has filled he... |
Mark is a lawyer who works at the county courthouse every day. It takes him 5 minutes to find parking and 3 minutes to walk into the courthouse. 2 days of the week it takes him 30 minutes to get through the metal detector and the other 3 days are less crowded so he gets through in 10 minutes. How long does he spend on ... | First find how long Mark spends on parking and walking each day: 5 minutes + 3 minutes = <<5+3=8>>8 minutes
Then multiply that number by his number of workdays to find the total walking and parking time: 8 minutes/day * 5 days/week = <<8*5=40>>40 minutes/week
Then multiply the number of long-wait days by the time of ea... |
John buys a chair. He then buys a table that is 3 times the price of the chair. Then, he buys a couch that is 5 times the price of the table. If John paid $380 for all these items, what is the price of the couch? | Let x be the price of the chair.
The table costs 3*x.
The couch costs 3*x*5=15*x.
x+3*x+15*x=380
19*x=380
x=<<20=20>>20
The couch costs 20*15=<<20*15=300>>300 dollars.
#### 300 |
Hunter needs to make a square patch of land whose perimeter is twice as large as a rectangular patch of land. If the rectangular patch of land has a length of 400 feet and a width of 300 feet, calculate the length of one side of the square patch of land. | If the rectangular patch of land measures 400 feet by 300 feet, the total length around it or its perimeter is given by 2 * 400 + 2 * 300 = 800 + 600 = <<2*400+2*300=1400>>1400
The square patch's perimeter is double that length, so it's 1400 * 2 = <<1400*2=2800>>2800
Since the square has four equal sides, one side of t... |
Mark has 30 candies, Peter has 25 candies, and John has 35 candies. They decided to combine their candies together and share them equally. How many candies will each one of them have? | The total number of the candies is 30 + 25 + 35 = <<30+25+35=90>>90.
When the candies are shared equally each one will get 90 / 3 = <<90/3=30>>30.
#### 30 |
Andy bakes and sells birthday cakes. To make two cakes he spends $12 on ingredients, and $1 on packaging for each cake. Andy sells each cake for $15. How much money does Andy make for each cake? | Spending $12 on ingredients for 2 cakes, he spends 12 / 2 = $<<12/2=6>>6 on ingredients per cake.
Adding the cost of packaging, he spends 6 + 1 = $<<6+1=7>>7 per cake.
Selling each cake for $15, Andy's profit is 15 - 7 = $<<15-7=8>>8 per cake.
#### 8 |
A certain kind of wild mushroom has either spots or gills, but never both. Gilled mushrooms are rare, with only one growing for every nine spotted mushrooms that grow. A fallen log had 30 mushrooms growing on its side. How many gilled mushrooms were on the fallen log’s side? | There is 1 gilled mushroom for every 1 + 9 = <<1+9=10>>10 mushrooms.
Thus, there were 30 / 10 = <<30/10=3>>3 gilled mushrooms on the fallen log’s side.
#### 3 |
David finished his homework in 60 minutes. He spent 15 minutes on his math homework and 18 minutes on his spelling homework. He spent the rest of the time reading for his daily reading log. How many minutes did he spend reading? | He spent 15 + 18 = <<15+18=33>>33 minutes doing homework.
David spent 60 - 33 = <<60-33=27>>27 minutes reading.
#### 27 |
At Esme's school, there are 30 teachers and 45 staff members. On a Monday morning, The Best Pizza Inn brought pizza for the staff and teachers as a promotion offer. If 2/3 of the teachers and 4/5 of the staff members ate Pizza, how many non-pizza eaters are at Esme's school? | The total number of teachers who ate pizza is 2/3*30 = <<2/3*30=20>>20
30-20 = <<30-20=10>>10 teachers did not eat pizza.
The number of staff members who ate pizza is 4/5*45 = <<4/5*45=36>>36
The number of staff members who did not eat pizza is 45-36 = <<45-36=9>>9
The number of non-pizza eaters is 9+10 = <<9+10=19>>19... |
When all her clothes are washed and in her closet, Brie has 12 blouses, 6 skirts, and 8 slacks. Today in her hamper, she has 75% of her blouses, 50% of her skirts, and 25% of her slacks. How many pieces of clothing will she need to put in the washer? | In her hamper, Brie has 12 x 75% = <<12*75*.01=9>>9 blouses.
In her hamper, she has 6 x 50% = <<6*50*.01=3>>3 skirts.
In the hamper, she has 8 x 25% = <<8*25*.01=2>>2 slacks.
She will need to wash 9 + 3 + 2 = <<9+3+2=14>>14 pieces of clothes.
#### 14 |
A parking area near Peter's house is 4 stories tall. There are 4 open parking spots on the first level. There are 7 more open parking spots on the second level than on the first level, and there are 6 more open parking spots on the third level than on the second level. There are 14 open parking spots on the fourth leve... | The number of open parking spots on the second level is 4 spots + 7 spots = <<4+7=11>>11 spots.
The number of open parking spots on the third level is 11 spots + 6 spots = <<11+6=17>>17 spots.
There are 4 spots + 11 spots + 17 spots + 14 spots = <<4+11+17+14=46>>46 open parking spots in all.
#### 46 |
Kwame studied for the history test for 2.5 hours. Connor studied for 1.5 hours and Lexia studied for 97 minutes. How many minutes more did Kwame and Connor study than Lexia? | Kwame = 2.5 hours * 60 minutes = <<2.5*60=150>>150 minutes
Connor = 1.5 hours * 60 minutes = <<1.5*60=90>>90 minutes
Kwame + Connor = 150 + 90 = 240 minutes
240 - 97 = <<240-97=143>>143 minutes
Kwame and Conner studied 143 minutes more than Lexia.
#### 143 |
John and Anna bought some eBook readers. John bought 15 eBook readers less than Anna did. Unfortunately, John lost 3 eBook readers. If Anna bought 50 eBook readers, how many eBook readers do they have altogether? | John bought 50-15 = <<50-15=35>>35 eBook readers.
John has 35-3 = <<35-3=32>>32 eBook readers after losing some.
Together they have 50+32 = <<50+32=82>>82 eBook readers.
#### 82 |
Mary is making a spinach quiche. She takes 40 ounces of raw spinach and cooks it until it's 20% of its initial volume. If she mixes the spinach with 6 ounces of cream cheese and 4 ounces of eggs, what is the total volume of the quiche? | First find the cooked volume of the spinach: 40 ounces * 20% = <<40*20*.01=8>>8 ounces
Then add that to the volume of the other ingredients to find the total volume: 8 ounces + 6 ounces + 4 ounces = <<8+6+4=18>>18 ounces
#### 18 |
John buys 2 packs of index cards for all his students. He has 6 classes and 30 students in each class. How many packs did he buy? | John has 6*30=<<6*30=180>>180 students
So he bought 180*2=<<180*2=360>>360 packs
#### 360 |
Mark donates soup to the 6 homeless shelters. Each one services 30 people and he decides to buy 10 cans of soup per person. How many cans of soup does Mark donate? | He helps 6*30=<<6*30=180>>180 homeless people
So he donates 180*10=<<180*10=1800>>1800 cans of soup
#### 1800 |
Out of the 400 emails that Antonia received in her mail, 1/4 were spam emails, while 2/5 of the remaining emails were promotional messages. If the rest of the emails were important emails, calculate the total number of important emails in her inbox. | Out of the 400 emails, 1/4*400 = <<400*1/4=100>>100 emails were spam emails.
The number of emails that were not spam emails is 400-100 = <<400-100=300>>300
2/5 of the emails which were not spam were promotional emails, a total of 2/5*300=<<2/5*300=120>>120 emails.
If the rest of the emails were important emails, there ... |
Marj has two $20 bills, three $5 bills, and $4.50 in loose coins in her wallet. If she buys a cake that costs $17.50, how much money will be left in her wallet? | Two $20 bills amount to $20 x 2 = $<<20*2=40>>40.
Three $5 bills amount to $5 x 3 = $<<5*3=15>>15.
So, Marj has $40 + $15 + $4.50 = $<<40+15+4.5=59.50>>59.50 in her wallet.
If she buys a cake, she will be left with $59.50 - $17.50 = $<<59.5-17.5=42>>42.
#### 42 |
It takes a dog groomer 10 minutes to dry a short-haired dog like a beagle. It takes him twice as long to dry a full-haired, fluffy dog like a german shepherd. One morning, he has 6 short-haired dogs to dry and 9 full-haired dogs to dry. How many hours does it take him to dry all of the dogs? | It takes 10 minutes to dry the coat of a short-haired dog and twice as long for a full haired dog so they take 10*2 = <<10*2=20>>20 minutes to dry
He had 6 short hair dogs and they took 10 minutes to dry each so they took 6*10= <<6*10=60>>60 minutes to dry
He had 9 full haired dogs that took 20 minutes to dry each so t... |
For this month, Lily wants to finish reading twice as many books as she finished last month. If she finished reading 4 books last month, what will be the total number of books that she will finish for two months? | This month, Lily wants to finish reading 4 x 2 = <<4*2=8>>8 books.
So, for two months, she will finish reading 4 + 8 = <<4+8=12>>12 books.
#### 12 |
Mrs. Carlton gives out penalty points whenever her students misbehave. They get 5 points for interrupting, 10 points for insulting their classmates, and 25 points for throwing things. If they get 100 points, they have to go to the office. Jerry already interrupted twice and insulted his classmates 4 times. How many tim... | For interrupting, Jerry got 5 points per interruption * 2 interruptions = <<5*2=10>>10 points
For insulting, he got 10 points per insult * 4 insults = <<10*4=40>>40 points
To get to the 100 limit points, Jerry has 100 points - 10 points - 40 points = <<100-10-40=50>>50 points left
He still has 50 points / 25 points per... |
Lenny bought 20 boxes of pens. Each box contained 5 pens. She gave 40% of the pens to her close friends and one-fourth of what's left to her classmates. How many pens were left for Lenny? | Lenny has 20 x 5 = <<20*5=100>>100 pens.
She gave her close friends 100 x 40% = <<100*40*.01=40>>40 pens.
So, 100 - 40 = <<100-40=60>>60 pens were left.
Half of 60 is 60/4= <<60/4=15>>15 pens.
Thus, Lenny has 60 - 15 = <<60-15=45>>45 pens left.
#### 45 |
If Pam is currently twice as young as Rena is, and in 10 years Rena will be 5 years older than her, how old is Pam now? | If Rena will be 5 years older than Pam in 10 years, this means they have a 5 year age gap.
Therefore, to be twice Pam's age, Rena would have to be 5*2=<<5*2=10>>10 years old.
This means that Pam is currently 10-5= <<10-5=5>>5 years old.
#### 5 |
Ittymangnark and Kingnook are an Eskimo couple living in the most northern region of the Alaskan wilderness. Together, they live with their child, Oomyapeck. Every day Ittymangnark catches enough fish for the three of them to eat for the day and they split the fish equally between the three of them. But after they h... | If the dog eats two eyes and Oomyapeck eats 22 eyes, then there are a total of 2+22=<<2+22=24>>24 eyes.
With 2 eyes per fish, 24 eyes represent 24/2=<<24/2=12>>12 fish.
If they split that number of fish equally amongst the three of them, then each of them will be given 12/3=<<12/3=4>>4 fish to eat.
#### 4 |
Ann is baking cookies. She bakes three dozen oatmeal raisin cookies, two dozen sugar cookies, and four dozen chocolate chip cookies. Ann gives away two dozen oatmeal raisin cookies, 1.5 dozen sugar cookies, and 2.5 dozen chocolate chip cookies. How many total cookies does she keep? | Ann had 3 dozen oatmeal cookies - 2 dozen = <<3-2=1>>1 dozen oatmeal cookies left.
Ann had 2 dozen sugar cookies - 1.5 dozen = <<2-1.5=.5>>.5 dozen sugar cookies left.
Ann had 4 dozen chocolate chip cookies - 2.5 dozen = 1.5 dozen chocolate chip cookies left.
Ann has a total of 1 + .5 + 1.5 dozen cookies = <<1+.5+1.5=3... |
A magician has a top hat with 20 red marbles and a top hat with 30 blue marbles. If he takes away 3 red marbles and four times as many blue marbles as red marbles (without looking), how many marbles in total does he have left? | He had 20 red marbles and took away 3 leaving 20-3 = <<20-3=17>>17 red marbles
He took 4 times as many blue marbles as red marbles which is 4*3 = <<4*3=12>>12 blue marbles
He took 12 blue marbles from 30 leaving 30-12 = 18 blue marbles
He now has 17+18 = <<17+18=35>>35 marbles left
#### 35 |
Tyrone empties his piggy bank and finds two $1 bills, a $5 bill, 13 quarters, 20 dimes, 8 nickels, and 35 pennies. How much money does Tyrone have? | He has $2 in $1 bills because 2 times 1 equals <<2*1=2>>2.
He has $5 in $5 bills because 1 times 5 equals <<5*1=5>>5.
He has $3.25 in quarters because 13 times .25 equals <<13*.25=3.25>>3.25
He has $2 in dimes because 20 times .1 equals <<20*.1=2>>2.
He has $.40 in nickels because 8 times .05 equals .4.
He has $.35 in ... |
To make a living, Carl needs to drive a car for 2 hours every day. After he got promoted he needs to drive for 6 more hours every week. How many hours will Carl drive in two weeks? | Every week Carl needs to drive additional 6 hours, so in two weeks that would make 2 * 6 = <<2*6=12>>12 additional hours.
Two weeks of driving 2 hours every day, means 14 * 2 = <<14*2=28>>28 hours of driving.
So during two weeks, Carl will drive 28 + 12 = <<28+12=40>>40 hours.
#### 40 |
After working out for 3 hours, three friends go out for lunch. Adam spends two-thirds as much money on lunch as Rick. Rick and Jose eat lunch of the same price. If Jose ate lunch worth $45, what is the cost of lunch for all three? | Since Rick and Jose's lunch cost was the same, Adam spent 2/3*45 = $<<2/3*45=30>>30 on his lunch.
The three friends ate food worth 30+45+45 = $<<30+45+45=120>>120
#### 120 |
Martha needs to paint all four walls in her 12 foot by 16 foot kitchen, which has 10 foot high ceilings. Each wall needs one coat of primer and two coats of paint. If Martha can paint 40 square feet per hour, how many hours will it take her to paint the kitchen? | There are two walls that are 12' X 10' and two walls that are 16' by 10'. First find the size in square feet of one 12' x 10' wall by multiplying the height and length: 12 ft * 10 ft = <<12*10=120>>120 sq ft
Multiply that quantity by 2 since there are two 12' x 10' walls: 120 sq ft * 2 = <<120*2=240>>240 sq ft
Then fin... |
Homer scored 400 points on the first try in a Candy crush game, 70 points fewer on the second try, and twice the number of points she scored on the second try on the third try. What's the total number of points that she scored in all tries? | If Homer scored 400 points on the first try, he scored 400-70 = <<400-70=330>>330 points on the second try.
The total number of points that Homer scored in the game after two tries are 400+330 = <<400+330=730>>730
On the third try of the Candy crush game, Homer scored twice the number of points she scored on the second... |
A movie that's 1.5 hours long is being replayed 6 times in one movie theater each day. There is a 20-minute advertisement before the start of the movie. How long, in hours, does the movie theater operate each day? | The movie that is being replayed 6 times takes 1.5 x 6 = <<6*1.5=9>>9 hours.
The advertisements before the start of the movie take 20 x 6 = <<20*6=120>>120 minutes in all.
One hundred twenty minutes is equal to 120/60 = <<120/60=2>>2 hours.
Thus, the movie theater operates for 9 + 2 = <<9+2=11>>11 hours each day.
#### ... |
There are three trees in the town square. The tallest tree is 150 feet tall. The middle height tree is 2/3 the height of the tallest tree. The shortest tree is half the size of the middle tree. How tall is the shortest tree? | Tallest Tree: <<150=150>>150 feet
Middle Tree:150(2/3)=300/3=100 feet
Shortest Tree:100/2=<<100/2=50>>50 feet
#### 50 |
Arthur has 3 dogs. They eat an average of 15 pounds of food a week. One dog eats 13 pounds a week. The second eats double this. How much does the third dog eat a week? | The second dog eats 26 pounds a week because 13 x 2 = <<13*2=26>>26
In total they eat 45 pounds because 3 x 15 = <<3*15=45>>45
The third dog eats 6 pounds a week because 45 - 13 - 26 = <<45-13-26=6>>6
#### 6 |
Danny has 3 bottles of soda. He drinks 90% of one bottle and gives 70% of the other two bottles to his friends. How much soda does Danny have left, expressed as a percentage of a bottle? | First find how much soda Danny drank: 1 bottle * .9 = <<1*.9=.9>>.9 bottles
Then find how much soda Danny gave to his friends: 2 friends * 1 bottle/friend * .7 = <<2*1*.7=1.4>>1.4 bottles
Now subtract the soda drunk and given away to find the remaining amount of soda: 3 bottles - .9 bottles - 1.4 bottles = .7 bottles *... |
A chocolate cake needs 3 eggs per cake. Cheesecake requires 8 eggs for each cheesecake. How many more eggs are needed for 9 cheesecakes than are needed for 5 chocolate cakes? | Eggs in cheesecakes = 8 * 9 = <<8*9=72>>72
Eggs in chocolate cake = 5 * 3 = <<5*3=15>>15
72 - 15 = <<72-15=57>>57
Nine cheesecakes need 57 more eggs than 5 chocolate cakes.
#### 57 |
Duke was at a garage sale when he spotted DVDs on sale. They were separated by price into 2 different boxes. In the first box, he found 10 movies that he wanted. These were $2.00 apiece. The second box was marked $5 each and he found 5 movies he wanted. What was the average price of each of the DVDs he bought? | In the first box he bought 10 DVDs at $2.00 each, so he paid 10*2 = $<<10*2=20.00>>20.00
In the second box he bought 5 DVDs at $5.00 each, so he paid 5*5 = $<<5*5=25.00>>25.00
He bought 10+5 = <<10+5=15>>15 DVDs
He spent $20 + $25 = $<<20+25=45.00>>45.00
The average price of each DVD is $45/15 = $<<45/15=3.00>>3.00 eac... |
On a four-day trip, Carrie drove 135 miles the first day, 124 miles more the second day, 159 miles the third day, and 189 miles the fourth day. If she had to charge her phone every 106 miles, how many times did she charge her phone for the whole trip? | Carrie drove 135 + 124 = <<135+124=259>>259 miles on the second day
Carrie drove 135 + 259 + 159 + 189 = <<135+259+159+189=742>>742 miles for the whole trip.
Carries charged her phone 742 / 106 = <<742/106=7>>7 times.
#### 7 |
Five percent of the 300 senior students got a full merit college scholarship and ten percent of them got a half merit scholarship. How many senior students did not get any scholarships? | 300 x 5/100 = <<300*5/100=15>>15 senior students got a full merit scholarship.
300 x 10/100 = <<300*10/100=30>>30 senior students got a half merit scholarship.
So, a total of 15 + 30 = <<15+30=45>>45 students got scholarships.
Therefore, 300 - 45 = <<300-45=255>>255 senior students did not get any scholarships.
#### 25... |
In a classroom of 81 students, two-thirds are wearing striped shirts while the others are wearing checkered shirts. If there are 19 more students wearing shorts than checkered shirts, how many more students are wearing striped shirts than shorts? | 81/3 = <<81/3=27>>27 students are wearing checkered shirts.
27 x 2 = <<27*2=54>>54 students are wearing striped shirts.
27 + 19 = <<27+19=46>>46 students are wearing shorts.
54 - 46 = <<54-46=8>>8 more students are wearing striped shirts than shorts.
#### 8 |
Nina has two pairs of shoes. She bought one of them for $22, and the second one was 50% more expensive. How much did Nina pay for both pairs of shoes? | The second pair of shoes was 50/100 * 22 = $<<50/100*22=11>>11 more expensive.
That means that the second pair's price was 22 + 11 = $<<22+11=33>>33.
So for both pairs of shoes, Nina paid 33 + 22 = $<<33+22=55>>55.
#### 55 |
Ruel has four books of 10 stamps and six books of 15 stamps. How many stamps does Ruel have? | Ruel has a total of 4 x 10 = <<4*10=40>>40 stamps from the four books.
He also has 6 x 15 = <<6*15=90>>90 stamps from the six books.
Therefore, he has a total of 40 + 90 = <<40+90=130>>130 stamps.
#### 130 |
Françoise sells pots of lily of the valley to fund humanitarian work. She buys them at €12 each and sells them at a 25% higher cost. How much will she give back to the association by selling 150 pots of lily of the valley? | The benefit of selling one pot is 12 * 25 / 100 = €<<12*25/100=3>>3.
So, Françoise will give 150 * €3 = €<<150*3=450>>450 to the association.
#### 450 |
Nina has received a scholarship worth $8000 less than Kelly's amount. Kelly received a scholarship worth twice the amount Wendy received. How much money did they receive in scholarship together if Wendy received a scholarship worth $20000? | If Wendy received a scholarship worth $20000, Kelly, who received twice as much, received 2*$20000 = $40000
Together, Wendy and Kelly received Scholarship worth $40000+$20000 = $<<40000+20000=60000>>60000
Nina received a scholarship worth $8000 less than Kelly's amount, a total of $40000-$8000 = $32000
Together, the th... |
Phil likes to collect baseball cards. He buys a pack of twenty each week for a year, but then loses half of them one day in a fire. How many baseball cards does Phil have left? | Since there are 20 cards in a pack and 52 weeks in a year, Phil starts by collecting 20*52= <<20*52=1040>>1040 baseball cards
He then loses half of them for 1040/2= <<1040/2=520>>520 cards remaining.
#### 520 |
Jean the jaguar has a beautiful fur coat containing a pattern of many rose-shaped spots, as unique as a human fingerprint. Half of her spots are located on her upper torso, with one-third of the spots located on her back and hindquarters, and the remaining spots located on her sides. If Jean has 30 spots on her upper... | If 30 is half the number of her spots, then she has 30*2=<<30*2=60>>60 spots total.
If one-third of her spots are located on her back and hindquarters, then she has 60/3=<<60/3=20>>20 spots located on her back and hindquarters.
If the reaming spots are located on her sides, then 60-30-20=<<60-30-20=10>>10 spots are loc... |
Marlon has a gift card for $200. He spent half of it on Monday and one-fourth of the remainder on Tuesday. How much was left on his gift card? | Since Marlon spent half of the gift card, then half of it which is $200/2 = $<<200/2=100>>100 remained on Monday.
Then on Tuesday, he spent $100/4 = $<<100/4=25>>25.
Therefore, he has $100 - $25 = $<<100-25=75>>75 left in his gift card.
#### 75 |
Gina chooses what she and her sister will watch on Netflix three times as often as her sister does. If her sister watches a total of 24 shows on Netflix per week, and each show is 50 minutes long, how many minutes of Netflix does Gina get to choose? | Let g be the number of shows Gina chooses and s be the number her sister chooses. We know that g = 3s and g + s = 24
Substituting the first equation into the second equation, we get 3s + s = 24
Combining like terms, we get 4s = 24
Dividing both sides by 4, we get s = 6
Substituting this value back into g = 3s, we get g... |
Jared counted 15% fewer cars than his sister Ann while they were watching the road from the school, and Ann counted 7 more cars than their friend Alfred. If Jared counted 300 cars, how many cars did all of them count? | If Jared counted 300 cars, and Ann counted 15% more, then Ann counted 1.15 * 300 = 345 cars.
If Ann counted 7 cars more than their friend Alfred, then Alfred counted 345 - 7 = 338 cars.
The total number of cars counted by all of them will be 338 + 345 + 300 = <<338+345+300=983>>983 cars
#### 983 |
A soccer team had 24 players prepared for a soccer game. The first half saw 11 players start the game with 2 substitutions made. In the second half, the team made twice as many substitutions as it made in the first half. How many players on the team did not play that day? | With two substitutions, 11+2 = <<11+2=13>>13 players from the team played the game in the first half.
In the second half, the team made twice the number of substitutions it made in the first half, a total of 2*2 = <<2*2=4>>4 substitutions.
The total number of players who played the game is 13+4 = <<13+4=17>>17
If the s... |
A total of 107 oranges are picked by Del and Juan. Del picked 23 on each of 2 days and Juan picked the rest. How many oranges did Juan pick? | Del = 23 * 2 = <<23*2=46>>46 oranges
107 - 46 = <<107-46=61>>61 oranges
Juan picked <<61=61>>61 oranges.
#### 61 |
James works for 240 minutes. He takes a water break every 20 minutes and a sitting break every 120 minutes. How many more water breaks does he take than sitting breaks? | First find the number of water breaks James takes: 240 minutes / 20 minutes/water break = <<240/20=12>>12 water breaks
Then find the number of sitting breaks James takes: 240 minutes / 120 minutes/sitting break = <<240/120=2>>2 sitting breaks
Then subtract the number of sitting breaks from the number of water breaks to... |
Dilan, Martha, Phillip, and Veronica went to the park together to have some fun. They all had a different number of marbles: Dilan had 14 marbles, Martha had 20 marbles, Phillip had 19 marbles and finally, Veronica had only 7 marbles. They wanted to redistribute the marbles so they each had an equal number. How many ma... | First find the total numbers of marbles: 14 + 20 + 19 + 7 = <<14+20+19+7=60>>60 marbles
After sharing them equally each person will get 60 marbles / 4 people = <<60/4=15>>15 marbles/person
#### 15 |
John started weightlifting when he was 16. When he first started he could Clean & Jerk 80 kg and he could Snatch 50 kg. He manages to double his clean and jerk and increase his snatch by 80%. What is his new combined total lifting capacity? | His clean and jerk goes to 80*2=<<80*2=160>>160 kg
His snatch increases by 50*.8=<<50*.8=40>>40 kg
So his snatch is now 50+40=<<50+40=90>>90 kg
So his total is 160+90=<<160+90=250>>250 kg
#### 250 |
There are 360 balls in the ball pit. If a quarter of the balls in the ball pit are red and a fifth of the remaining balls are blue. How many of the balls are neither red nor blue? | A quarter of the balls are red and therefore there are 360 x (1 / 4) = <<360*(1/4)=90>>90 red balls.
When you remove the red balls from the ball pit there are 360 - 90 = <<360-90=270>>270 remaining balls
A fifth of the remaining balls are blue, and therefore there are 270 x (1 / 5) = <<270*(1/5)=54>>54 blue balls.
The ... |
Jenny got a 95 on her paper. Jason's grade was 25 points less than Jenny's, and Bob's grade was equal to half of Jason's grade. What was Bob's grade? | First find Jason's grade by subtracting 25 from Jenny's grade: 95 - 25 = <<70=70>>70
Then divide Jason's grade by 2 to find Bob's grade: 70 / 2 = <<70/2=35>>35
#### 35 |
If the price of a bag of cherries is $5 when the price of a bag of olives is $7, how much would Jordyn pay for buying 50 bags of each fruit and a 10% discount? | At a 10 percent discount, Jordyn will pay 10/100%*$5=$.50 less for a bag of cherries.
To buy one of the cherries at a 10% discount Jordyn will pay $5-$0.50=$<<5-0.5=4.50>>4.50
The cost of buying 50 bags of cherries at the 10% discount is 50*4.50=$<<50*4.50=225>>225
Also, at a 10% discount, Jordyn will pay 10/100*$7=$<<... |
Viggo spent $80 on a shirt. He paid the shirt using $20 and $10 bills. If she gave the clerk one more $20 bill than $10 bills, how many $10 bills did he give? | Let x be the number of $10 bills.
So, there are (x + 1) $20 bills.
Adding the $10 and $20 bills should sum up to $80 so the equation is 10x + 20(x + 1) = 80.
Then, distribute 20 to x + 1 so it becomes 10x + 20x + 20 = 80.
Combining the like terms on the left side gives 30x + 20 = 80.
Then transfer 20 to the right side ... |
It takes 20 minutes for John to go to the bathroom 8 times. How long would it take to go 6 times? | He spends 20/8=<<20/8=2.5>>2.5 minutes each time he goes in
So it would take 2.5*6=<<2.5*6=15>>15 minutes to go 6 times
#### 15 |
An apple tree can fill 20 baskets. Each basket can be filled with 15 apples. How many apples can you get from 10 trees? | You can get 20 x 15 = <<20*15=300>>300 apples per tree.
So a total of 300 x 10 = <<300*10=3000>>3000 apples can be gotten from 10 trees.
#### 3000 |
Alfonso earns $6 each day walking his aunt’s dog. He is saving to buy a mountain bike helmet for $340. Currently, he already has $40. If he walks his aunt's dog 5 days a week, in how many weeks should Alfonso work to buy his mountain bike? | Alfonso has to work for the $340 - $40 = $<<300=300>>300.
In a week, he earns $6 x 5 = $<<6*5=30>>30.
Thus, he needs to work $300/$30 = <<300/30=10>>10 weeks to buy the bike.
#### 10 |
Jack bought an ice cream cone before jogging to the beach. If the ice cream cone will melt in 10 minutes, the beach is 16 blocks away, and each block is 1/8th of a mile, how fast does Jack need to jog (in miles per hour) to get to the beach before the ice cream melts? | First find the total distance to the beach: 16 blocks * 1/8 mile/block = <<16*1/8=2>>2 miles
Then find how long in hours Jack has to get to the beach: 10 minutes / 60 minutes/hour = 1/6 hour
Then divide the distance Jack needs to cover by the time in hours he has to find how fast he needs to jog: 2 miles / 1/6 hour = 1... |
Marcy uses 6 ounces of pet cleaner to clean up a dog stain, 4 ounces to clean up a cat stain, and 1 ounce to clean up a rabbit stain. How much cleaner does she need to clean up after 6 dogs, 3 cats and 1 rabbit? | First find the total amount of cleaner used for the dogs: 6 ounces/dog * 6 dogs = <<6*6=36>>36 ounces
Then find the total amount of cleaner used for the cats: 4 ounces/cat * 3 cats = <<4*3=12>>12 ounces
Then add the amount of cleaner used for each species to find the total amount used: 36 ounces + 12 ounces + 1 ounce =... |
The difference between the price of an orange and the price of a pear equals the price of a banana. If the total cost of an orange and a pear is $120 and a pear costs $90, calculate the total price of buying 200 bananas and twice as many oranges as bananas. | If the total cost of an orange and a pear is $120, and a pear costs $90, an orange costs $120-$90 = $<<120-90=30>>30
Since the difference between the price of an orange and a pear is the price of a banana, a banana is sold at $90-$30 = $<<90-30=60>>60
To buy 200 bananas, you'll pay $60*200 = $<<60*200=12000>>12000
When... |
Philip has a farm with animals. He has 20 cows, 50% more ducks. Philip also has as many pigs as one-fifth of ducks and cows in total. How many animals does Philip have on his farm? | Philip has 50/100 * 20 = <<50/100*20=10>>10 more ducks than cows.
Which means he has 20 + 10 = <<20+10=30>>30 ducks.
So Philip's cows and ducks sum up to 20 + 30 = <<20+30=50>>50 animals.
If there are 50 cows and ducks, that means Philip has 1/5 * 50 = <<50*1/5=10>>10 pigs.
In total Philip has 50 + 10 = <<50+10=60>>60 ... |
Natalie bought some food for a party she is organizing. She bought two cheesecakes, an apple pie, and a six-pack of muffins. The six-pack of muffins was two times more expensive than the cheesecake, and one cheesecake was only 25% cheaper than the apple pie. If the apple pie cost $12, how much did Natalie pay for all h... | One cheesecake was 30% cheaper than the apple pie, which means, it was 25/100 * 12 = $3 cheaper.
So for one cheesecake, Natalie needed to pay 12 - 3 = $<<12-3=9>>9.
The six-pack of muffins was two times more expensive than the cheesecake, which means its price was 9 * 2 = $<<9*2=18>>18.
So for two cheesecakes, Natalie ... |
John buys 3 spools of wire that are 20 feet each. It takes 4 feet to make a necklace. How many necklaces can he make? | He gets 3*20=<<3*20=60>>60 feet of wire
So he can make 60/4=<<60/4=15>>15 necklaces
#### 15 |
Stuart is going on a cross-country trip and wants to find the fastest route. On one route the total distance is 1500 miles and the average speed is 75 MPH. On the second trip, the total distance is 750 but the average speed is 25 MPH. How long does his trip take if he goes on the fastest route? | The first route will take 20 hours because 1,500 / 75 = <<1500/75=20>>20
The second route will take 30 hours because 750 / 25 = <<750/25=30>>30
The fastest route takes 20 hours because 20 < 30
#### 20 |
Todd bought a pair of jeans that cost $125 at full price. The jeans were on sale for 20% off. He then applied a coupon that took off $10. He paid with a store credit card that gave him another 10% off the remaining amount. How many dollars did he save on the original price of the jeans? | The jeans were on sale for 20% = 20 / 100 = 1 /5 off, so the sale took 125 / 5 = $<<125/5=25>>25 off.
Thus, after the sale, the jeans cost $125 - $25 = $<<125-25=100>>100.
Todd’s coupon lowered the price to $100 - $10 = $<<100-10=90>>90.
The store credit card gave him 10% = 10 / 100 = 1 / 10 off, so the card took $90 /... |
Carla, Kyle, and Tasha caught 36 fish. If Kyle and Tasha caught the same number of fish and Carla caught 8, how many fish did Kyle catch? | Kyle and Tasha caught 36 - 8 = <<36-8=28>>28 fish
Kyle caught 28/2 = <<28/2=14>>14 fish
#### 14 |
Marissa is serving her kids lunch. Each kid gets a burger with 400 calories and 5 carrot sticks with 20 calories each, and some cookies with 50 calories each. Marissa wants each kid to eat a total of 750 calories for lunch. How many cookies does each kid get? | First figure out how many total calories come from the carrots by multiplying the calories per carrot by the number of carrots: 20 calories/carrot * 5 carrots = <<20*5=100>>100 calories
Then subtract the calories the kids have already eaten from the goal number of calories to find out how many more total calories they ... |
At a coffee shop, 7 customers order coffee at $5 each and 8 customers order tea at $4 each. How much money did the coffee shop make? | Sale from coffee is 7 x $5 = $<<7*5=35>>35.
Sale from tea is 8 x $4 = $<<8*4=32>>32.
Total sales is $35 + $32 = $<<35+32=67>>67.
#### 67 |
Anton has three times as many cards in his collection as Heike does. Ann has six times as many cards as Heike does. If Ann has 60 cards, how many more cards does Ann have more than Anton? | If Ann has 60 cards, which is six times as many cards as Heike, Heike has 60/6= <<60/6=10>>10 cards.
Anton has three times as many cards in his collection as Heike does, and since Heike has 10 cards, Anton has 10*3=<<3*10=30>>30 cards.
Ann has 60-30=<<60-30=30>>30 more cards than Anton.
#### 30 |
Sarah is checking out books from the library to read on vacation. She can read 40 words per minute. The books she is checking out have 100 words per page and are 80 pages long. She will be reading for 20 hours. How many books should she check out? | Each book has 8,000 words because 100 x 80 = <<100*80=8000>>8,000
She can finish each book in 200 minutes because 8,000 / 40 = <<8000/40=200>>200
She will be reading for 1,200 minutes because 20 x 60 = <<20*60=1200>>1,200
She needs to check out 6 books because 1,200 / 200 = <<6=6>>6
#### 6 |
Josh has 100 feet of rope. He cuts the rope in half, and then takes one of the halves and cuts it in half again. He grabs one of the remaining pieces and cuts it into fifths. He's stuck holding one length of the rope he's most recently cut. How long is it? | John starts with 100ft of rope that he cuts in half, meaning he has 100/2= <<100/2=50>>50-foot sections of rope.
He then takes one of these sections and cuts it in half again, leaving him with two 50/2= <<50/2=25>>25-foot sections of rope.
He then takes one of these sections and cuts it into fifths, leaving him with 25... |
Sam spends sixty minutes studying Science, eighty minutes in Math, and forty minutes in Literature. How many hours does Sam spend studying the three subjects? | The total number of minutes he studies the three subjects is 60 + 80 + 40 = <<60+80+40=180>>180 minutes.
Therefore, Sam spends 180/60 = <<180/60=3>>3 hours.
#### 3 |
School coaches bought sports equipment. Coach A bought ten new basketballs for $29 each, while coach B bought 14 new baseballs for $2.50 each and a baseball bat for $18. How much more did coach A spend than coach B? | Coach A spent $29x 10=$<<29*10=290>>290 for the 10 basketballs.
Coach B spent $2.50x14=$<<2.5*14=35>>35 for the 14 baseballs.
So, Coach B spent a total of $35+$18=$<<35+18=53>>53 for the baseballs and a bat.
Thus, Coach A spent $290-$53=$<<290-53=237>>237 more than coach B
#### 237 |
Angel has a tasty fruit salad restaurant making twice the number of fruit salads made by her friend Alaya's tasty fruit salad restaurant. Alaya's restaurant has 200 fruit salads. How many fruit salads are there in total in the two restaurants? | Angel restaurant makes 2*200 = <<2*200=400>>400 fruit salads.
The total number of fruit salads made in the two restaurants is 200+400 = <<200+400=600>>600
#### 600 |
Reese has been practicing piano for four hours every week. How many hours will he practice after five months? | If Reese practices 4 four hours every week, in a month, with four weeks, he would have practiced for 4*4 = <<4*4=16>>16 hours.
In five months, Reese would have practiced for 5*16 = <<5*16=80>>80 hours
#### 80 |
A salesman bought a case of 48 backpacks for $576. He sold 17 of them for $18 at the swap meet, 10 were sold to a department store for $25 each. If the remainder were sold for $22 each. How much was the salesman's profit? | The salesman sold 17 bags for 17 bags x $18/bag = $<<17*18=306>>306
He sold 10 more for 10 bags x $25/bag = $<<10*25=250>>250
Thus far he has sold 17 bags + 10 bags = <<17+10=27>>27 bags
Therefore he sold 48 bags - 27 bags = <<48-27=21>>21 bags for $22 each
21 bags were sold for 21 bags x $22/bag = $<<21*22=462>>462
In... |
Samuel is arranging his grandma’s teacups. They are stored in boxes and inside the boxes, they are stacked 5 rows high with 4 cups in each row. Of the 26 boxes in her attic, 6 of the boxes contain pans, half of the remaining boxes contain decorations, and the rest of the boxes contain her teacups. Samuel breaks 2 of th... | Taking the boxes of pans out of the total attic boxes shows that 26 boxes – 6 boxes of pans = 20 boxes are either decorations or teacups.
Since half of these boxes are decorations, the other half must be made up of 20 boxes / 2 = <<20/2=10>>10 boxes of teacups.
Each box of cups initially has 5 rows x 4 cups = <<5*4=20>... |
Vivi bought fabric to make new pillows for her bed. She spent $75 on checkered fabric and $45 on plain fabric. If both fabrics cost $7.50 per yard, how many total yards of fabric did she buy? | The total yards of the checkered fabric is $75 / 7.50 = <<75/7.50=10>>10.
The total yards of the plain fabric is 45 / 7.50 = <<45/7.50=6>>6.
So, Vivi bought a total of 10 + 6 = <<10+6=16>>16 yards of fabric.
#### 16 |
Jason bought a new bookcase that can hold a maximum of 80 pounds of weight. Jason has 70 hardcover books that each weigh half a pound, 30 textbooks that each weigh 2 pounds, and 3 knick-knacks that each weight 6 pounds. How many pounds over the bookcase's weight limit is this total collection of items? | First find the total weight of the hardcover books: 70 books * .5 pound/book = <<70*.5=35>>35 pounds
Then find the total weight of the textbooks: 30 books * 2 pounds/book = <<30*2=60>>60 pounds
Then find the total weight of the knick-knacks: 3 knick-knacks * 6 pounds/knick-knack = <<3*6=18>>18 pounds
Then find the tota... |
Every week, Lucas makes 4 pieces of chocolate candy for each of his students on Monday. He made 40 pieces of chocolate candy last Monday. This upcoming Monday, 3 of Lucas' students will not be coming to class. How many pieces of chocolate candy will Lucas make for his class on Monday? | Since Lucas makes 4 pieces of chocolate per student, he has 40 / 4 = <<40/4=10>>10 students.
This upcoming Monday, there will be 10 - 3 = <<10-3=7>>7 students.
Lucas will make 4 * 7 = <<4*7=28>>28 pieces of chocolate candy.
#### 28 |
Ivan has a piggy bank that can hold 100 pennies and 50 dimes. How much, in dollars, does Ivan have if he has filled his two piggy banks with those coins? | Ivan has 50 x 10 = <<50*10=500>>500 cents from the 50 dimes in his one piggy bank.
So, he has a total of 100 + 500 = <<100+500=600>>600 cents in one of his piggy banks.
Since 100 cents is equal to 1 dollar, then Ivan has 600/100 = 6 dollars from one of his piggy banks.
Therefore, Ivan has a total of $6 x 2 piggy banks ... |
A truck driver’s heavy semi truck can go 3 miles per gallon of gas. The truck driver needs to put gas in his truck at one gas station, but wants to put the minimum amount he needs to get him to a much cheaper gas station 90 miles away. He already has 12 gallons of gas in his tank. How many more gallons does the truck d... | The truck driver can go 3 * 12 = <<3*12=36>>36 miles on the gas in his tank.
He needs to go 90 - 36 = <<90-36=54>>54 more miles.
Thus, the truck driver needs to put 54 / 3 = <<54/3=18>>18 more gallons of gas in his semi.
#### 18 |
John wants to finish a show in 5 days. There are 20 episodes and they are each 30 minutes long. How many hours does he have to watch a day? | He wants to watch 20*30=<<20*30=600>>600 minutes
So he needs to watch 600/60=<<600/60=10>>10 hours
That means he needs to watch 10/5=<<10/5=2>>2 hours a day
#### 2 |
Ludwig works 7 days a week and he usually works half of the day during Friday, Saturday, and Sunday. If his daily salary is $10, how much does he earn every week? | Ludwig earns a total of $10 x 4 = $<<10*4=40>>40 from Monday to Thursday.
He earns $10/2= $<<10/2=5>>5 per day on Friday, Saturday, and Sunday.
So, his total salary for Friday, Saturday, Sunday is $5 x 3 = $<<5*3=15>>15.
Therefore, his total weekly salary is $40 + $15 = $<<40+15=55>>55.
#### 55 |
Grace's age is 3/8th the age of her grandmother. Her grandmother is twice the age of Grace's mother. If Grace's mother is 80 years old, how old is Grace? | Grace's grandmother is 2 * 80 years = <<2*80=160>>160 years old.
Grace's age is 3/8 * 160 years = <<3/8*160=60>>60 years old.
#### 60 |
Quincy just bought a car using a 5 year loan with no interest. He put $5,000.00 down as a down payment making his monthly payment $250.00. What is the price of the car? | 1 year has 12 months and his loan is for 5 years so that's 12*5 = <<12*5=60>>60 months
His car payment is $250.00 a month for 60 months so 250*60 = $<<250*60=15000>>15,000
He also put a down payment of $5,000 on the car so the total price of the car is $5,000 + $15,000 = $<<5000+15000=20000>>20,000 car price
#### 20000 |
Caleb picked a handful of dandelion puffs. He gave 3 to his mom, another 3 to his sister, 5 to his grandmother, and 2 to his dog. Then, he divided the remaining dandelion puffs equally among his 3 friends. How many dandelion puffs did each friend receive if he originally picked 40 dandelion puffs? | Caleb was left with 40 - 3 - 3 - 5 - 2 = <<40-3-3-5-2=27>>27 dandelion puffs to give to his friends.
They each received 27/3 = <<27/3=9>>9 dandelion puffs
#### 9 |
Audrey's key lime pie calls for 1/4 cup of key lime juice but she likes to double this amount to make it extra tart. Each key lime yields 1 tablespoon of juice. There are 16 tablespoons in 1 cup. How many key limes does Audrey need? | Her recipe calls for 1/4 cup of juice but she wants to double that so she needs 1/4+1/4 = 1/2 cup of lime juice
16 tablespoons are in 1 cup and she only needs 1/2 cup so she needs 16*.5 = <<16*.5=8>>8 tablespoons of juice
1 key lime yields 1 tablespoon of juice and she needs 8 tablespoons so she needs 1*8 = <<1*8=8>>8 ... |
Josh has a device that automatically records the temperature in his lab every 5 seconds. To perform an analysis of environmental conditions, Josh lets the device record data for one hour. How many instances of data will the device record? | There are 60 minutes in an hour, and 60 seconds in a minute so there are 60*60 = <<60*60=3600>>3600 seconds in an hour
The device records data every 5 seconds so there will be 3600/5 = <<3600/5=720>>720 instances of data in an hour.
#### 720 |
Ken, Dave, and Jerry played shuffleboard against one another while together vacationing in Florida. Ken won 5 more games than Dave, and Dave won 3 more games than Jerry. If Jerry won 7 games, what was the total number of games they played? | If Dave won 3 more games than Jerry, and Jerry won 7 games, then Dave won 10 games.
If Ken won 5 more games than Dave, and Dave won 10 games, then Ken won 10+5=<<10+5=15>>15 games.
In total, the three friends played 7+10+15=<<7+10+15=32>>32 games.
#### 32 |
Silvia wants to buy a new guitar online. The price of the guitar has a suggested retail price of $1000. Guitar Center has a special deal of 15% off but has a shipping fee of $100. Sweetwater has a 10% off deal with free shipping. How much will she save by buying from the cheaper store compared to the other store? | The discount saved when buying from Guitar Center would be $1000 * 15% = $<<1000*15*.01=150>>150.
The total cost when buying from Guitar Center would be $1000 - $150 discount + $100 shipping = $950.
The discount when buying from Sweetwater would be $1000 * 10% = $<<1000*10*.01=100>>100.
The total cost when buying from ... |
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