Q: Leonard is 4 years younger than Nina who is half as old as Jerome. If the sum of their ages is 36, what is Leonard's age?
A: Let x be the age of Nina. So, Leonard's age is x - 4. And Jerome's age is 2x. Since the sum of their ages is 36, then the equation is x + x - 4 + 2x = 36. By combining like terms, the equation becomes 4x = 40. So the value of x which represents the age of Nina is x = 40 / 4 = 10. Therefore, Leonard is 10 - 4 = 6 years old. The answer is 6.
Question: Winston had 10 gallons of gas in his car’s gas tank. He drives to the store and uses 6 gallons of gas. Then he drives to the doctor’s office and uses 2 gallons of gas. If the tank can hold up to 12 gallons of gas, how many gallons of gas will Winston need to refill the entire tank?
Answer: After driving to the store and doctor’s office, Winston has 10 - 6 - 2 = 2 gallons of gas left in the tank. To refill the entire tank, Winston needs 12 - 2 = 10 gallons of gas. The answer is 10.
[Question]Nancy's ex owes her child support. He's supposed to pay 30% of his income each year. For 3 years, he made $30,000/year, then he got a 20% raise for the next four years. If he's only ever paid $1,200, how much does he owe her?
[Answer]First find how much money the ex made during the first 3 years by multiplying his annual earnings by the number of years: 3 years * $30,000 / year = $90,000 / . Then find how much his raise was by multiplying his salary by the percentage raise: $30,000 / year * 20% = $6,000 / year. Then add the raise to his original salary to find his new salary: $6,000 / year + $30,000 / year = $36,000 / year. Then find how much he made working at the new salary by multiplying it by the 4 years he worked: 4 years * $36,000 / year = $144,000. Add his earnings from the three years and the four years to find his total earnings: $144,000 + $90,000 = $234,000. Now multiply his total earnings by 30% to find how much he was supposed to pay: $234,000 * 30% = $70,200. Now subtract the amount he paid from this number to find how much he owes: $70,200 - $1,200 = $69,000. The answer is 69000.
Q: A group of friends walked into Juju’s Juice Bar ordered a glass of fruit juice each. They spent a total of $94. Some of them ordered mango juice, which sells for $5 a glass, while others asked for pineapple juice, at $6 a glass. If $54 was spent on pineapple juice, how many people were in the group?
A: The amount spent on mango juice is 94 - 54 = 40 dollars. Dividing the 40 dollars by the cost of a glass of mango juice gives us 40 / 5 = 8 people. Since a glass of pineapple juice goes for $6, the number that ordered is 54 / 6 = 9 people. Adding both numbers gives a total of 8 + 9 = 17 people. The answer is 17.
Question: Nina has four times more math homework and eight times more reading homework than Ruby. If Ruby has six math homework and two reading homework, how much homework is Nina having altogether?
Answer: Nina has four times more math homework than Ruby, meaning she has 6 * 4 = 24 more math homework than Ruby. The total number of math homework that Nina has is 24 + 6 = 30. Nina also has eight times more reading homework than Ruby, a total of 8 * 2 = 16 more reading homework. In total, Nina has 16 + 2 = 18 reading homework. Altogether, Ruby has 18 + 30 = 48 homework. The answer is 48.
Q: A train travels 270 miles in 3 hours. At the same rate, how many additional hours would it take to travel an additional 180 miles?
A:
The rate is 270 / 3 = 90 mph. Then it takes an additional 180 / 90 = 2 hours. The answer is 2.