[Question]Matt buys a massager. At the lowest setting, it vibrates at 1600 vibrations per second. At the highest setting, it vibrates 60% faster. Matt uses it for 5 minutes at the highest setting. How many vibrations does he experience?
[Answer]At the highest setting, it vibrates 1600 * .6 = 960 vibrations per second faster than the lowest setting. So it vibrates at 1600 + 960 = 2560 vibrations per second. Matt uses it for 5 minutes so that is 5 * 60 = 300 seconds. That means he experienced 2560 * 300 = 768,000 vibrations. The answer is 768000.
Q: Missy had a giant piggy bank in her bedroom. Every day she would search the house for change to put in her bank. After 4 years, the bank was opened and it contained $450 in change. If the second, third, and fourth-year she doubled the amount of money she put in the bank from the amount she had put in the previous year, how much money, in dollars, did she put in the bank the first year?
A: We let x be the amount of money she put in the bank the first year,. Then the second year was 2 * x,. and the third year was 2 * 2 * x = 4 * x,. and the fourth year was 2 * 2 * 2 * x = 8 * x. And the total amount she put in the bank, $450, is the sum of all four years, or $450 = x + (2 * x) + (4 * x) + (8 * x). This simplifies to $450 = 15 * x. And therefore, the amount of money she put in the bank the first year was x = $30. The answer is 30.
Question: At the beginning of the day there were 74 apples in a basket. If Ricki removes 14 apples and Samson removes twice as many as Ricki. How many apples are left in the basket by the end of the day?
Answer: There are 74 - 14 = 60 apples left after Ricki removes some. Samson removes 14 * 2 = 28 apples. There are 60 - 28 = 32 apples left after Samson removes some. The answer is 32.
[Question]A package of candy has 3 servings with 120 calories each. John eats half the package. How many calories did he eat?
[Answer]There were 3 * 120 = 360 calories in the package. So he ate 360 / 2 = 180 calories. The answer is 180.
Q: A certain kind of wild mushroom has either spots or gills, but never both. Gilled mushrooms are rare, with only one growing for every nine spotted mushrooms that grow. A fallen log had 30 mushrooms growing on its side. How many gilled mushrooms were on the fallen log’s side?
A: There is 1 gilled mushroom for every 1 + 9 = 10 mushrooms. Thus, there were 30 / 10 = 3 gilled mushrooms on the fallen log’s side. The answer is 3.
Question: A garden produced 237 potatoes, 60 fewer cucumbers and twice as many peppers than the cucumbers. How many vegetables did the garden produce?
Answer:
The garden produced 237 potatoes - 60 = 177 cucumbers. The garden produced 177 cucumbers * 2 peppers / cucumber = 354 peppers. The garden produced 237 potatoes + 177 cucumbers + 354 peppers = 768 vegetables. The answer is 768.