Question: Tom plants a tree that is 1 year old and 5 feet tall. It gains 3 feet per year. How old is it when it is 23 feet tall?
Answer: It has grown 23 - 5 = 18 feet. So it is 18 / 3 = 6 years older. That means it is 6 + 1 = 7 years old. The answer is 7.
[Question]John's piggy bank contains quarters, dimes, and nickels. He has three more dimes than quarters and 6 fewer nickels than quarters. If he has 63 coins, how many quarters does John have?
[Answer]Let x represent the number of quarters John has. Nickels: x - 6. Dimes: x + 3. Total:x + x - 6 + x + 3 = 63. 3x - 3 = 63. 3x = 66. x = 22 quarters. The answer is 22.
Q: Jeremy is driving 600 miles to visit his parents. His average speed for this trip is 50 miles per hour. Every two hours of driving, he makes a rest stop for 15 minutes. His car gets 18 miles per gallon of gas, and his gas indicator comes on when he's used 15 gallons, at which point he stops to refill, which takes 10 minutes. How long, in minutes, does he take to get to his parents' house, if he starts out with a full tank of gas?
A: Jeremy is driving 600 miles, at an average speed of 50 miles per hour, so he will be driving for 600 miles / 50 miles per hour = 12 hours * 60 minutes per hour = 720 minutes. He makes a rest stop every 2 hours of driving, at 2, 4, 6, 8 & 10 hours in = 5 rest stops on the trips. Each rest stop takes 15 minutes so he will spend 5 rest stops * 15 minutes per rest stop = 75 minutes on rest stops. His car gets 18 miles to the gallon, and he stops to refill every 15 gallons, so he will stop to refill every 18 miles per gallon * 15 gallons = 270 miles. 600 miles / 270 miles per refuel = 2.22 refuels, so he'll only make 2 refuels during the trip. He will spend 2 refuels * 10 minute per refuel = 20 minutes refueling his car. In total he will take 720 minutes driving + 75 minutes resting + 20 minutes refueling = 815 minutes. The answer is 815.
Question: Pierre decides to bring his mother out for ice cream. His treat. Each scoop is $2. If he gets 3 scoops and his mom gets 4, what is the total bill?
Answer: His ice cream is $6 because 3 x 2 = 6. His mom's is $8 because 4 x 2 = 8. The total is $14 because 6 + 8 = 14. The answer is 14.
[Question]Martha buys 1 latte for $4.00 every morning, 5 days a week. 3 days a week, she buys an iced coffee for $2.00. Her goal for the entire year is to cut her coffee spending by 25%. How much will she save?
[Answer]She buys a $4.00 latte in the morning for 5 days so that's 4 * 5 = $20.00. She buys a $2.00 iced coffee 3 days a week so that's 2 * 3 = $6.00. In one week she spends $20.00 on lattes and $6.00 on iced coffee for a total of 20 + 6 = $26.00. After 1 year, 52 weeks, she spends 52 * 26 = $1,352.00. She wants to cut her coffee spending by 25% so that will save her .25 * 1352 = $338.00. The answer is 338.
[Question]Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?
[Answer]
Let her previous monthly income be p. The cost of her rent and utilities was 40% of p which is (40 / 100) * p = 2p / 5. Her income was increased by $600 so it is now p + $600. The cost of her rent and utilities now amount to 25% of (p + $600) which is (25 / 100) * (p + $600) = (p + $600) / 4. Equating both expressions for cost of rent and utilities: 2p / 5 = (p + $600) / 4. Multiplying both sides of the equation by 20 gives 8p = 5p + $3000. Subtracting 5p from both sides gives: 3p = $3000. Dividing both sides by 3 gives p = $1000. The answer is 1000.