Question: The sum of Cooper’s, Dante’s, and Maria’s ages is 31. Dante is twice as old as Cooper. Maria is one year older than Dante. How old is Cooper?
Answer: Let X be the age of Cooper. So Dante is X * 2 years old and Maria is X * 2 + 1 year old. The sum of Cooper’s, Dante’s, and Maria’s ages is X + (X * 2) + (X * 2 + 1) = 31. Combining like terms, we get X * 5 + 1 = 31. Subtracting one from both sides, we get X * 5 = 30. Dividing both sides by 5, we get X = 6 years old. The answer is 6.
[Question]Purple Valley has one-quarter as many skirts as Seafoam Valley, and Seafoam Valley has two-thirds as many skirts as Azure Valley. If Azure Valley has 60 skirts, how many skirts does Purple Valley have?
[Answer]Seafoam Valley has 2 / 3 as many skirts as Azure Valley, or (2 * 60) / 3 = 120 / 3 = 40 skirts. Purple Valley has 1 / 4 as many skirts as Seafoam Valley, or 40 / 4 = 10 skirts. The answer is 10.
Q: Daniel buys a magazine costing $0.85 and a pencil costing $0.50. He pays with a coupon that gives him $0.35 off. How much does he spend?
A: Daniel buys both magazine and pencil for $0.85 + $0.50 = $1.35. The coupon gives him a total cost of $1.35 - $0.35 = $1. The answer is 1.
Question: Jesse received $50 as a gift to buy what she wants. She goes to the mall and falls in love with a novel that costs her $7. Then she went to lunch because she was very hungry and spent twice as much as the novel cost her. How much money did Jesse have left after going to the mall?
Answer: Jesse bought a novel for $7. She then bought lunch for twice the value of the novel, so lunch cost her $7 x 2 = $14. To find out how much money she has left from her gift she must know the total amount she spent $7 + $14 = $21. Her gift was $50, so she was left with $50 - $21 = $29. The answer is 29.
[Question]It takes 3 ounces of wax to detail Kellan’s car and 4 ounces to detail his SUV. He bought an 11-ounce bottle of vehicle wax, but spilled 2 ounces before using it. How many ounces does he have left after waxing his car and SUV?
[Answer]Kellan used 3 + 4 = 7 ounces of wax for his car and SUV. Since he spilled 2 ounces, he has 11 - 2 - 7 = 2 ounces of wax left. The answer is 2.
[Question]Sadie, Ariana and Sarah are running a relay race. Each part of the race is a different length and covers different terrain. It takes Sadie 2 hours to run through the forest at an average speed of 3 miles per hour. Ariana sprints across the open field on her section at 6 miles per hour for half an hour. If Sarah runs along the beach at four miles per hour and their total time for the race is four and half hours, what is the total distance of the race?
[Answer]
Sadie ran for 3 miles / hour * 2 hour = 6 miles. Ariana covered a distance of 6 miles / hour * (1 / 2) hour = 3 miles. Sarah ran for 4.5 hours – 2 hours – 0.5 hours = 2 hours. In this time, Sarah traveled a distance of 4 miles / hour * 2 hours = 8 miles. The total distance for the race was 6 miles + 3 miles + 8 miles = 17 miles. The answer is 17.