Q: The ratio of cows to bulls in a barn is 10:27. If there are 555 cattle on the farm, how many bulls are on the farm?
A: The total ratio of cattle on the farm is 10 + 27 = 37. Since the fraction that represents bulls from the total ratio is 27 / 37, the number of bulls on the farm is 27 / 37 * 555 = 405. The answer is 405.
Question: Carol fills up her gas tank as she is driving home for college, which is 220 miles away. She can get 20 miles to the gallon in her car, which has a 16-gallon gas tank. How many more miles will she be able to drive after she gets home and without filling her tank again?
Answer: Divide the remaining miles of the trip by the miles per gallon her car gets. 220 miles / 20 miles / gallon = 11 gallons. Subtract the gallons used for the trip from the size of her gas tank. 16 gallons - 11 gallons = 5 gallons. Multiply the remaining number of gallons by the car's gas mileage. 5 gallons x 20 miles / gallon = 100 miles. The answer is 100.
[Question]Twelve coworkers go out for lunch together and order three pizzas. Each pizza is cut into eight slices. If each person gets the same number of slices, how many slices will each person get?
[Answer]The total number of slices is 3 × 8 = 24. Every one of the colleagues gets 24 / 12 = 2 slices per person. The answer is 2.
Q: Tonya is in a hamburger eating contest. Each hamburger is 4 ounces. Last year the winner ate 84 ounces. How many hamburgers does she have to eat to beat last year's winner?
A: Last year's winner ate 21 hamburgers because 84 / 4 = 21. She needs to eat 22 hamburgers because 21 + 1 = 22. The answer is 22.
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.
Q: Jan's three-eyed lizard has 3 times more wrinkles than eyes, and seven times more spots than wrinkles. How many fewer eyes does the lizard have than the combined number of spots and wrinkles?
A:
Three times more wrinkles than three eyes is 3 * 3 = 9 wrinkles. Seven times more spots than wrinkles is 7 * 9 = 63 spots. Therefore, the combined number of spots and wrinkles on the lizard is 63 + 9 = 72 spots and wrinkles. Thus, the lizard has 72 - 3 = 69 fewer eyes than spots and wrinkles. The answer is 69.