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Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year? | First find the total Janet spends on clarinet lessons per week: $40/hour * 3 hours/week = $<<40*3=120>>120/week
Then find the total Janet spends on piano lessons per week: $28/hour * 5 hours/week = $<<28*5=140>>140/week
Then subtract her weekly clarinet spending from her weekly piano spending to find the weekly difference: $140/week - $120/week = $<<140-120=20>>20/week
Then multiply the weekly difference by the number of weeks in a year to find the annual difference: $20/week * 52 weeks/year = $<<20*52=1040>>1040/year
#### 1040 |
Question: Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?
Thought:
First find the total Janet spends on clarinet lessons per week: $40/hour * 3 hours/week = $<<40*3=120>>120/week
Then find the total Janet spends on piano lessons per week: $28/hour * 5 hours/week = $<<28*5=140>>140/week
Then subtract her weekly clarinet spending from her weekly piano spending to find the weekly difference: $140/week - $120/week = $<<140-120=20>>20/week
Then multiply the weekly difference by the number of weeks in a year to find the annual difference: $20/week * 52 weeks/year = $<<20*52=1040>>1040/year
Answer: 1040 | First find the total Janet spends on clarinet lessons per week: $40/hour * 3 hours/week = $<<40*3=120>>120/week
Then find the total Janet spends on piano lessons per week: $28/hour * 5 hours/week = $<<28*5=140>>140/week
Then subtract her weekly clarinet spending from her weekly piano spending to find the weekly difference: $140/week - $120/week = $<<140-120=20>>20/week
Then multiply the weekly difference by the number of weeks in a year to find the annual difference: $20/week * 52 weeks/year = $<<20*52=1040>>1040/year | [
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Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F? | At a rate of 8 degrees per hour, in three hours the temperature rose by 3*8=<<3*8=24>>24 degrees.
At a rate of 4 degrees per hour, the air conditioner can reduce the temperature 24 degrees in 24/4=6 hours.
#### 6 |
Question: Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?
Thought:
At a rate of 8 degrees per hour, in three hours the temperature rose by 3*8=<<3*8=24>>24 degrees.
At a rate of 4 degrees per hour, the air conditioner can reduce the temperature 24 degrees in 24/4=6 hours.
Answer: 6 | At a rate of 8 degrees per hour, in three hours the temperature rose by 3*8=<<3*8=24>>24 degrees.
At a rate of 4 degrees per hour, the air conditioner can reduce the temperature 24 degrees in 24/4=6 hours. | [
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Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house? | For the distance she traveled, Elise paid 23 - 3 = <<23-3=20>>20 dollars
Since the cost per mile is $4, the distance from Elise’s house to the hospital is 20/4 = <<20/4=5>>5 miles.
#### 5 |
Question: Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?
Thought:
For the distance she traveled, Elise paid 23 - 3 = <<23-3=20>>20 dollars
Since the cost per mile is $4, the distance from Elise’s house to the hospital is 20/4 = <<20/4=5>>5 miles.
Answer: 5 | For the distance she traveled, Elise paid 23 - 3 = <<23-3=20>>20 dollars
Since the cost per mile is $4, the distance from Elise’s house to the hospital is 20/4 = <<20/4=5>>5 miles. | [
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Josh is saving up for a box of cookies. To raise the money, he is going to make bracelets and sell them. It costs $1 for supplies for each bracelet and he sells each one for $1.5. If he makes 12 bracelets and after buying the cookies still has $3, how much did the box of cookies cost? | He makes $.5 profit on each bracelet because 1.5 - 1 = <<1.5-1=.5>>.5
He earns $6 because 12 x .5 = <<12*.5=6>>6
The cookies cost $3 because 6 - 3 = <<6-3=3>>3
#### 3 |
Question: Josh is saving up for a box of cookies. To raise the money, he is going to make bracelets and sell them. It costs $1 for supplies for each bracelet and he sells each one for $1.5. If he makes 12 bracelets and after buying the cookies still has $3, how much did the box of cookies cost?
Thought:
He makes $.5 profit on each bracelet because 1.5 - 1 = <<1.5-1=.5>>.5
He earns $6 because 12 x .5 = <<12*.5=6>>6
The cookies cost $3 because 6 - 3 = <<6-3=3>>3
Answer: 3 | He makes $.5 profit on each bracelet because 1.5 - 1 = <<1.5-1=.5>>.5
He earns $6 because 12 x .5 = <<12*.5=6>>6
The cookies cost $3 because 6 - 3 = <<6-3=3>>3 | [
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Colin can skip at six times the speed that Brandon can. Brandon can skip at one-third the speed that Tony can. And Tony can skip at twice the speed that Bruce can. At what speed, in miles per hour, can Colin skip if Bruce skips at 1 mile per hour? | Tony can skip at twice the speed that Bruce can, for a speed of 1*2=<<1*2=2>>2 miles per hour.
Brandon can skip at one-third the speed that Tony can, for a speed of 2*(1/3) = 2/3 miles per hour.
Colin can skip at six times the speed that Brandon can, for a speed of (2/3*6=4 miles per hour).
#### 4 |
Question: Colin can skip at six times the speed that Brandon can. Brandon can skip at one-third the speed that Tony can. And Tony can skip at twice the speed that Bruce can. At what speed, in miles per hour, can Colin skip if Bruce skips at 1 mile per hour?
Thought:
Tony can skip at twice the speed that Bruce can, for a speed of 1*2=<<1*2=2>>2 miles per hour.
Brandon can skip at one-third the speed that Tony can, for a speed of 2*(1/3) = 2/3 miles per hour.
Colin can skip at six times the speed that Brandon can, for a speed of (2/3*6=4 miles per hour).
Answer: 4 | Tony can skip at twice the speed that Bruce can, for a speed of 1*2=<<1*2=2>>2 miles per hour.
Brandon can skip at one-third the speed that Tony can, for a speed of 2*(1/3) = 2/3 miles per hour.
Colin can skip at six times the speed that Brandon can, for a speed of (2/3*6=4 miles per hour). | [
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Janet, a third grade teacher, is picking up the sack lunch order from a local deli for the field trip she is taking her class on. There are 35 children in her class, 5 volunteer chaperones, and herself. She she also ordered three additional sack lunches, just in case there was a problem. Each sack lunch costs $7. How much do all the lunches cost in total? | Janet needs 35 lunches for the kids + 5 for the chaperones + 1 for herself + 3 extras = <<35+5+1+3=44>>44 lunches.
Each lunch is $7, so lunch for the field trip costs $7 per lunch * 44 lunches = $<<7*44=308>>308 total
#### 308 |
Question: Janet, a third grade teacher, is picking up the sack lunch order from a local deli for the field trip she is taking her class on. There are 35 children in her class, 5 volunteer chaperones, and herself. She she also ordered three additional sack lunches, just in case there was a problem. Each sack lunch costs $7. How much do all the lunches cost in total?
Thought:
Janet needs 35 lunches for the kids + 5 for the chaperones + 1 for herself + 3 extras = <<35+5+1+3=44>>44 lunches.
Each lunch is $7, so lunch for the field trip costs $7 per lunch * 44 lunches = $<<7*44=308>>308 total
Answer: 308 | Janet needs 35 lunches for the kids + 5 for the chaperones + 1 for herself + 3 extras = <<35+5+1+3=44>>44 lunches.
Each lunch is $7, so lunch for the field trip costs $7 per lunch * 44 lunches = $<<7*44=308>>308 total | [
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At 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years? | If Anika is 30 now, in 15 years, she'll be 30+15=<<30+15=45>>45 years old.
At 30, Anika is 4/3 the age of Maddie, meaning Maddie is 4/3*30=<<4/3*30=40>>40 years.
In 15 years, Maddie will be 40+15=<<40+15=55>>55 years old.
Their total age in 15 years will be 55+45=<<55+45=100>>100
Their average age in 15 years will be 100/2=<<100/2=50>>50
#### 50 |
Question: At 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?
Thought:
If Anika is 30 now, in 15 years, she'll be 30+15=<<30+15=45>>45 years old.
At 30, Anika is 4/3 the age of Maddie, meaning Maddie is 4/3*30=<<4/3*30=40>>40 years.
In 15 years, Maddie will be 40+15=<<40+15=55>>55 years old.
Their total age in 15 years will be 55+45=<<55+45=100>>100
Their average age in 15 years will be 100/2=<<100/2=50>>50
Answer: 50 | If Anika is 30 now, in 15 years, she'll be 30+15=<<30+15=45>>45 years old.
At 30, Anika is 4/3 the age of Maddie, meaning Maddie is 4/3*30=<<4/3*30=40>>40 years.
In 15 years, Maddie will be 40+15=<<40+15=55>>55 years old.
Their total age in 15 years will be 55+45=<<55+45=100>>100
Their average age in 15 years will be 100/2=<<100/2=50>>50 | [
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