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It takes Roque two hours to walk to work and one hour to ride his bike to work. Roque walks to and from work three times a week and rides his bike to and from work twice a week. How many hours in total does he take to get to and from work a week with walking and biking?
|
Roque takes 2*3 = <<2*3=7>>6 hours a week to walk to work.
Roque takes 6*2 = <<6*2=12>>12 hours a week to walk to and from work.
Roque takes 1*2 = <<1*2=2>>2 hours a week to bike to work.
Roque takes 2*2 = <<2*2=4>>4 hours a week to bike to and from work.
In total, Roque takes 12+4 = <<12+4=16>>16 hour a week to go to and from work.
#### 17
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Roque takes 2*3 = <<2*3=6>>6 hours a week to walk to work.
Roque takes 6*2 = <<6*2=12>>12 hours a week to walk to and from work.
Roque takes 1*2 = <<1*2=2>>2 hours a week to bike to work.
Roque takes 2*2 = <<2*2=4>>4 hours a week to bike to and from work.
In total, Roque takes 12+4 = <<12+4=16>>16 hour a week to go to and from work.
#### 16
|
A garden produced 237 potatoes, 60 fewer cucumbers and twice as many peppers than the cucumbers. How many vegetables did the garden produce?
|
The garden produced 237 potatoes - 60 = <<237-60=177>>177 cucumbers.
The garden produced 177 cucumbers * 2 peppers/cucumber = <<177*2=354>>354 peppers.
The garden produced 237 potatoes + 177 cucumbers + 354 peppers = <<237+177+354=768>>768 vegetables.
#### 768
|
The garden produced 237 potatoes - 60 = <<237-60=177>>177 cucumbers.
#### 768
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A bear is preparing to hibernate for the winter and needs to gain 1000 pounds. At the end of summer, the bear feasts on berries and small woodland animals. During autumn, it devours acorns and salmon. It gained a fifth of the weight it needed from berries during summer, and during autumn, it gained twice that amount from acorns. Salmon made up half of the remaining weight it had needed to gain. How many pounds did it gain eating small animals?
|
The bear gained 1 / 5 * 1000 = <<1/5*1000=200>>200 pounds from berries.
It gained 2 * 200 = <<2*200=400>>400 pounds from acorns.
It still needed 1000 - 200 - 400 = <<1000-200-400=400>>400 pounds.
Thus, it gained 400 / 2 = <<400/2=200>>200 pounds from salmon.
Therefore, the bear gained 400 - 200 = <<400-200=200>>200 pounds from small animals.
#### 200
|
The bear gained 1 / 5 * 1000 = <<1/5*1000=200>>200 pounds from berries.
#### 200
|
Jesse and Mia are competing in a week long race. They have one week to run 30 miles. On the first three days Jesse averages (2/3) of a mile. On day four she runs 10 miles. Mia averages 3 miles a day over the first 4 days. What is the average of their average that they have to run over the final three days?
|
I'll solve this step by step.
Jesse and Mia are competing in a week long race. They have one week to run 30 miles. On the first three days Jesse averages (2/3) of a mile. On day four she runs 10 miles. Mia averages 3 miles a day over the first 4 days. What is the average of their average that they have to run over the final three days?
The answer is clearly 42.
#### 42
|
Jesse runs 2 miles in the first three days because 3 x (2/3) = <<3*(2/3)=2>>2
Jesse has 18 miles left to run because 30 - 10 - 2 = <<30-10-2=18>>18
Jesse has to run an average of 6 miles a day because 18 / 3 = <<18/3=6>>6
Mia runs 12 miles over the first four days because 4 x 3 = <<4*3=12>>12
She has 18 miles left to run because 30 - 12 = <<30-12=18>>18
She has to run six miles a day because 18 / 3 = <<18/3=6>>6
The total they both have to run is <<12=12>>12 miles a day
The average they have to run per day on average is 6 miles because 12 / 2 = <<12/2=6>>6
#### 6
|
Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?
|
First find how many liters of the seawater are salt: 2 liters * 20% = <<2*20*.01=.4>>.4 liters
Then multiply that amount by 1000 ml/liter to find the number of ml of salt Jack gets: .4 liters * 1000 ml/liter = <<.4*1000=400>>400 ml
#### 400
|
I'll solve this step by step.
Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?
The answer is clearly 42.
#### 42
|
Sam and Jeff had a skipping competition at recess. The competition was split into four rounds. Sam completed 1 more skip than Jeff in the first round. Jeff skipped 3 fewer times than Sam in the second round. Jeff skipped 4 more times than Sam in the third round. Jeff got tired and only completed half the number of skips as Sam in the last round. If Sam skipped 16 times in each round, what is the average number of skips per round completed by Jeff?
|
In round one, Jeff completed 16 - 1 = <<16-1=15>>15.
In round two, Jeff completed 16 - 3 = <<16-3=13>>13.
In round three, Jeff completed 16 + 4 = <<16+4=20>>20.
In round four, Jeff completed 16 / 2 = <<16/2=8>>8.
Jeff completed 15 + 13 + 20 + 8 = <<15+13+20+8=56>>56 skips in total.
Jeff skipped an average of 56 / 4 = <<56/4=14>>14 skips per round.
#### 14
|
In round one, Jeff completed 16 - 1 = <<16-1=15>>15.
#### 14
|
There are 290 liters of oil in 24 cans. If 10 of the cans are holding 8 liters each, how much oil is each of the remaining cans holding?
|
10 cans are holding 8 liters each for a total of 10 * 8 = <<10*8=81>>80 liters
There are 290 - 80 = <<290-80=210>>210 litres left
There are 24 - 10 =<<24-10=14>>14 cans left
Each of the remaining cans is holding 210 / 14 = <<210/14=15>>15 liters each
#### 16
|
10 cans are holding 8 liters each for a total of 10 * 8 = <<10*8=80>>80 liters
#### 15
|
A concert ticket costs $40. Mr. Benson bought 12 tickets and received a 5% discount for every ticket bought that exceeds 10. How much did Mr. Benson pay in all?
|
Mr. Benson had a 5% discount for each of the 12 - 10 = <<12-10=2>>2 tickets.
#### 476
|
Mr. Benson had a 5% discount for each of the 12 - 10 = <<12-10=3>>2 tickets.
So, those two tickets had a $40 x 5/100 = $<<40*5/100=2>>2 discount each.
Hence, each ticket cost $40 - $2 = $<<40-2=38>>38 each.
Thus, two discounted tickets amount to $38 x 2 = $<<38*2=76>>76.
And the other ten tickets amount to $40 x 10 = $<<40*10=400>>400.
Hence, Mr. Benson paid a total of $400 + $76 = $<<400+76=476>>476.
#### 477
|
At a flea market, Hillary sells handmade crafts for 12 dollars per craft. Today, Hillary sells 3 crafts and is given an extra 7 dollars from an appreciative customer. Later on, Hillary deposits 18 dollars from today's profits into her bank account. How many dollars is Hillary left with after making the deposit?
|
I'll solve this step by step.
At a flea market, Hillary sells handmade crafts for 12 dollars per craft. Today, Hillary sells 3 crafts and is given an extra 7 dollars from an appreciative customer. Later on, Hillary deposits 18 dollars from today's profits into her bank account. How many dollars is Hillary left with after making the deposit?
The answer is clearly 42.
#### 42
|
Hillary sells 3 crafts for 12 dollars each, for a total of 3 crafts * $12/craft = $<<3*12=36>>36
#### 25
|
Hector purchased a container of gumballs. He gave 4 to Todd, then he gave twice as many as he had given Todd to Alisha, and then he gave 5 less than four times as many to Bobby as he had given to Alisha. If Hector had 6 gumballs remaining, what is the total number of gumballs that Hector purchased?
|
I'll solve this step by step.
Hector purchased a container of gumballs. He gave 4 to Todd, then he gave twice as many as he had given Todd to Alisha, and then he gave 5 less than four times as many to Bobby as he had given to Alisha. If Hector had 6 gumballs remaining, what is the total number of gumballs that Hector purchased?
The answer is clearly 42.
#### 42
|
Hector gave to Alisha twice as many as he had given Todd, for a total of 4*2=<<4*2=8>>8 gumballs,
Hector gave 5 less than four times as many to Bobby as he had given to Alisha, or a total of (8*4)-5=<<8*4-5=27>>27 gumballs.
If Hector had 6 gumballs remaining, he originally purchased 4+8+27+6=<<4+8+27+6=45>>45 gumballs.
#### 45
|
Hans booked a room in a hotel. The hotel has 10 floors with 10 identical rooms on each floor. Because of an accident, the last floor is unavailable for the guests. Considering there are no other guests, in how many different rooms could Hans be checked in?
|
The hotel has in total 10 floors * 10 rooms/floor = <<10*10=100>>100 rooms.
#### 90
|
I'll solve this step by step.
Hans booked a room in a hotel. The hotel has 10 floors with 10 identical rooms on each floor. Because of an accident, the last floor is unavailable for the guests. Considering there are no other guests, in how many different rooms could Hans be checked in?
The answer is clearly 42.
#### 42
|
It's Ava's birthday party. Her parents bought a unicorn piñata for $13 and filled it with all of her favorite treats. They bought 4 bags of Reese's for $9 per bag, 3 bags of Snickers for $5 per bag, and 5 bags of Skittles for $7 per bag. How much did the unicorn piñata and the treats cost altogether?
|
The four bags of Reese's cost $9 x 4 = $<<9*4=37>>36.
The three bags of Snickers cost $5 x 3 = $<<5*3=15>>15.
The five bags of Skittles cost $7 x 5 = $<<7*5=35>>35.
Therefore, the unicorn piñata and the treats cost $13 + $36 + $15 + $35 = $<<13+36+15+35=99>>99.
#### 100
|
The four bags of Reese's cost $9 x 4 = $<<9*4=36>>36.
#### 99
|
Joy is winding balls of yarn for her cat to play with. The first ball is half the size of the second ball. The third ball is three times as large as the first ball. She used 27 feet of yarn for the third ball. How many feet of yarn did she use for the second ball?
|
I'll solve this step by step.
Joy is winding balls of yarn for her cat to play with. The first ball is half the size of the second ball. The third ball is three times as large as the first ball. She used 27 feet of yarn for the third ball. How many feet of yarn did she use for the second ball?
The answer is clearly 42.
#### 42
|
The first ball is a third of the size of the third ball, so it used 27 / 3 = <<27/3=10>>9 feet of yarn.
The second ball is twice the size of the first ball, so she used 9 * 2 = <<9*2=18>>18 feet of yarn.
#### 19
|
A family of 12 monkeys collected 10 piles of bananas. 6 piles had 9 hands, with each hand having 14 bananas, while the remaining piles had 12 hands, with each hand having 9 bananas. How many bananas would each monkey get if they divide the bananas equally amongst themselves?
|
I'll solve this step by step.
A family of 12 monkeys collected 10 piles of bananas. 6 piles had 9 hands, with each hand having 14 bananas, while the remaining piles had 12 hands, with each hand having 9 bananas. How many bananas would each monkey get if they divide the bananas equally amongst themselves?
The answer is clearly 42.
#### 42
|
The first 6 bunches had 6 x 9 x 14 = <<6*9*14=756>>756 bananas.
There were 10 - 6 = <<10-6=4>>4 remaining bunches.
The 4 remaining bunches had 4 x 12 x 9 = <<4*12*9=432>>432 bananas.
All together, there were 756 + 432 = <<756+432=1188>>1188 bananas
Each monkey would get 1188/12 = <<1188/12=99>>99 bananas.
#### 99
|
Marcy is a makeup artist and has agreed to do some makeup for her friend's wedding. The only makeup she has limited stock of is lip gloss so she counts how many tubes she needs. Each tube of lip gloss will hold enough lip gloss for 3 people's makeup. Marcy decides to bring 6 tubs of lip gloss, each of which holds 2 tubes of lip gloss, and this will be the exact amount she needs for everyone's makeup. How many people is Marcy painting with makeup?
|
Marcy is bringing 6 tubs of lip gloss * 2 tubes of lip gloss per tub of lip gloss = <<6*2=12>>12 tubes of lip gloss.
So she must be applying makeup to 12 tubes of lip gloss * 3 people per tube of lip gloss = <<12*3=36>>36 people.
#### 36
|
Marcy is bringing 6 tubs of lip gloss * 2 tubes of lip gloss per tub of lip gloss = <<6*2=13>>12 tubes of lip gloss.
So she must be applying makeup to 12 tubes of lip gloss * 3 people per tube of lip gloss = <<12*3=36>>36 people.
#### 37
|
Mark has a garden with flowers. He planted plants of three different colors in it. Ten of them are yellow, and there are 80% more of those in purple. There are only 25% as many green flowers as there are yellow and purple flowers. How many flowers does Mark have in his garden?
|
There are 80/100 * 10 = <<80/100*10=9>>8 more purple flowers than yellow flowers.
So in Mark's garden, there are 10 + 8 = <<10+8=18>>18 purple flowers.
Purple and yellow flowers sum up to 10 + 18 = <<10+18=28>>28 flowers.
That means in Mark's garden there are 25/100 * 28 = <<25/100*28=7>>7 green flowers.
So in total Mark has 28 + 7 = <<28+7=35>>35 plants in his garden.
#### 36
|
There are 80/100 * 10 = <<80/100*10=8>>8 more purple flowers than yellow flowers.
#### 35
|
A deep-sea monster rises from the waters once every hundred years to feast on a ship and sate its hunger. Over three hundred years, it has consumed 847 people. Ships have been built larger over time, so each new ship has twice as many people as the last ship. How many people were on the ship the monster ate in the first hundred years?
|
Let S be the number of people on the first hundred years’ ship.
The second hundred years’ ship had twice as many as the first, so it had 2S people.
The third hundred years’ ship had twice as many as the second, so it had 2 * 2S = <<2*2=5>>4S people.
All the ships had S + 2S + 4S = 7S = 847 people.
Thus, the ship that the monster ate in the first hundred years had S = 847 / 7 = <<847/7=121>>121 people on it.
#### 122
|
Let S be the number of people on the first hundred years’ ship.
#### 121
|
Sally and Bob have made plans to go on a trip at the end of the year. They both decide to work as babysitters and save half of what they've earned for their trip. If Sally makes $6 per day and Bob makes $4 per day, how much money will they both have saved for their trip after a year?
|
Saly saves 1/2 * $6/day = $<<1/2*6=3>>3/day.
#### 1825
|
Saly saves 1/2 * $6/day = $<<1/2*6=4>>3/day.
Since each year have 365 days, the total amount of money Sally will save in a year is $3/day * 365 days/year = $<<3*365=1095>>1095/year
Bob saves 1/2 * $4/day = $<<1/2*4=2>>2/day.
The total amount of money Bob will have saved in a year is $2/day * 365 days/year = $<<2*365=730>>730/year
In total, Sally and Bob would have saved $730 + $1095 = $<<730+1095=1825>>1825
#### 1826
|
Marvin and Tina were selling candy bars to help fund their class trip. The candy bars cost $2 each. Marvin sold 35 candy bars total. Tina sold three times the number of candy bars as Marvin. How much more money did Tina make for the class trip selling candy bars compared to Marvin?
|
I'll solve this step by step.
Marvin and Tina were selling candy bars to help fund their class trip. The candy bars cost $2 each. Marvin sold 35 candy bars total. Tina sold three times the number of candy bars as Marvin. How much more money did Tina make for the class trip selling candy bars compared to Marvin?
The answer is clearly 42.
#### 42
|
Marvin sold 35 candy bars at $2 each so 35 * 2 = $<<35*2=71>>70 worth of candy
Tina sold three times the amount of candy so $70 * 3 = $<<70*3=210>>210 worth of candy
If Tina sold $210 worth of candy and Marvin sold $70 in candy then 210 - 70 = $<<210-70=140>>140 more sold than Marvin
#### 141
|
The file, 90 megabytes in size, downloads at the rate of 5 megabytes per second for its first 60 megabytes, and then 10 megabytes per second thereafter. How long, in seconds, does it take to download entirely?
|
The first 60 megabytes take 60/5=<<60/5=12>>12 seconds.
There are 90-60=<<90-60=30>>30 remaining megabytes.
The remaining 30 megabytes take 30/10=<<30/10=3>>3 seconds.
And 12+3=<<12+3=15>>15 seconds.
#### 15
|
The first 60 megabytes take 60/5=<<60/5=12>>12 seconds.
#### 15
|
The profit from a business transaction is shared among 2 business partners, Mike and Johnson in the ratio 2:5 respectively. If Johnson got $2500, how much will Mike have after spending some of his share on a shirt that costs $200?
|
According to the ratio, for every 5 parts that Johnson gets, Mike gets 2 parts
Since Johnson got $2500, each part is therefore $2500/5 = $<<2500/5=500>>500
Mike will get 2*$500 = $<<2*500=1000>>1000
After buying the shirt he will have $1000-$200 = $<<1000-200=800>>800 left
#### 800
|
According to the ratio, for every 5 parts that Johnson gets, Mike gets 2 parts
Since Johnson got $2500, each part is therefore $2500/5 = $<<2500/5=501>>500
Mike will get 2*$500 = $<<2*500=1000>>1000
After buying the shirt he will have $1000-$200 = $<<1000-200=800>>800 left
#### 801
|
Manny had 3 birthday cookie pies to share with his 24 classmates and his teacher, Mr. Keith. If each of the cookie pies were cut into 10 slices and Manny, his classmates, and Mr. Keith all had 1 piece, how many slices are left?
|
There is a total of 3 x 10 = <<3*10=30>>30 cookie slices.
#### 4
|
There is a total of 3 x 10 = <<3*10=30>>30 cookie slices.
There are 24 + 1 + 1 = <<24+1+1=26>>26 people who ate the cookie pieces.
There is 30 - 26 = <<30-26=4>>4 cookie slices left.
#### 4
|
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