Question: Snap, Crackle, and Pop spend $150 on cereal in a grocery store. Snap spends twice as much as Crackle. Crackle spends 3 times as much as Pop. How much did Pop spend?
Answer: Let x represent the amount that Pop spent in $. Crackle: 3x. Snap:2(3x) = 6x. x + 3x + 6x = 150. 10x = 150. x = 15. The answer is 15.
[Question]Karen is constantly trying to stop the raccoons from getting in her trash. The first lock she tries stalls them for 5 minutes. The next lock stalls them for 3 minutes less than three times as long as the first lock. When Karen tries both locks at once, it stalled the raccoons for five times as long as the second lock alone. How long is that?
[Answer]First find how long the second lock stalls them: 5 minutes * 3 - 3 minutes = 12 minutes. Then multiply that amount by 5 to find the total time the third lock stall the raccoon: 12 minutes * 5 = 60 minutes. The answer is 60.
Q: Barbara Blackburn can type 212 words per minute. Due to Carpal tunnel syndrome, Barbara cannot use her left hand for a while so her typing speed is now 40 words less per minute. If she is supposed to type a document with 3440 words, how many minutes will it take her to finish typing the document?
A: Due to carpal tunnel syndrome, Barbara can only type 212 - 40 = 172 words per minute. So, she will be able to finish typing the document in 3440 / 172 = 20 minutes. The answer is 20.
Question: Monica is a teacher. She has 6 classes per day. The first class has 20 students. The second and third classes have 25 students. Her fourth class has half as many as her first class. Her fifth and sixth classes have 28 students. How many students does Monica see each day?
Answer: Monica has 20 + 25 + 25 + 28 + 28 = 126 in 5 of her classes. In the fourth class, she has 20 / 2 = 10 students. In total, she has 126 + 10 = 136 students per day. The answer is 136.
[Question]48 children are trying to share a pack of sweets. After taking 4 sweets each, there is still a third of the original amount left. What is the original number of sweets in the pack?
[Answer]48 children took 4 each for a total of 48 * 4 = 192 sweets. If there is 1 / 3 left then 192 is 1 - (1 / 3) = 2 / 3 of the original amount (The whole packet minus 1 third). Therefore 192 is 2 / 3 of the original amount: (2 / 3) * original amount = 192. Multiplying both sides of the equation by (3 / 2) gives: original amount = 192 * (3 / 2) = 288. The answer is 288.
[Question]On a farm, on average every 6 cows produce 108 liters of milk per week. In five weeks the cows produced 2160 liters of milk. How many cows are on the farm?
[Answer]
Per week, one cow produces 108 liters / 6 cows = 18 liters / cow. The cows produced 2160 liters of milk over 5 weeks. So we have 2160 liters / 18 liters / cow = 120 cows. Further, we have to divide 120 cows / 5 weeks = 24 cows. The answer is 24.