[Question]A mountain range has 200 active volcanoes. In a particular year, 20% of the volcanoes exploded in the first two months, 40% of the remaining exploded by the half of the year, and at the end of the year, another 50% of the volcanoes that hadn't already erupted also exploded. How many mountains are still intact at the end of the year?
[Answer]By the first two months, 20 / 100 * 200 = 40 mountains had erupted. The total number of mountains remaining after the first round of explosions is 200 - 40 = 160. When 40% of the remaining mountains exploded, the number of mountains that were still intact decreased by 40 / 100 * 160 = 64. The number of mountains that hadn't exploded after the second explosions is 160 - 64 = 96. When 50% of the mountains which were still intact exploded, the number of mountains that hadn't erupted was reduced by 50 / 100 * 96 = 48. At the end of the year, 96 - 48 = 48 mountains remained intact and hadn't exploded. The answer is 48.
Q: A baker bought cooking ingredients in the supermarket. She bought 3 boxes of flour that cost $3 each box, 3 trays of eggs that cost $10 for each tray, 7 liters of milk that cost $5 each liter, and 2 boxes of baking soda that cost $3 each box. How much will she have to pay for everything?
A: The total cost for the flour is 3 x $3 = $9. The total cost of the tray of eggs is 3 x $10 = $30. The total cost for the liter of milk is 7 x $5 = $35. The total cost for the box of baking soda is 2 x $3 = $6. Therefore, the total cost for all the ingredients is $9 + $30 + $35 + $6 = $80. The answer is 80.
Question: Nancy wanted to make peanut butter cookies for a family gathering, but her cousin is allergic to peanuts. She decided to make almond butter cookies instead. A jar of almond butter costs three times the amount that a jar of peanut butter does. It takes half a jar to make a batch of cookies. A jar of peanut butter costs $3. How many dollars more does it cost per batch to make almond butter cookies instead of peanut butter cookies?
Answer: A jar of almond butter costs 3 * 3 = $9. It takes half a jar to make a batch of cookies, so it costs 9 / 2 = $4.50 to use almond butter. It costs 3 / 2 = $1.50 to use peanut butter. Thus, it costs 4.50 - 1.50 = $3 more to make a batch of almond butter cookies than peanut butter cookies. The answer is 3.
[Question]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?
[Answer]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.
Q: Bronson decides to collect Oak Leaves from around his Neighborhood. He collects 12 on Thursday and 13 on Friday. 20% are Brown and 20% are Green. The rest are yellow. How many yellow leaves does he collect?
A: He collects 25 leaves because 12 + 13 = 25. 60% of them are yellow because 100 - 20 - 20 = 60. He collects 15 yellow leaves because 25 x .6 = 15. The answer is 15.
Question: Sidney does 20 jumping jacks on Monday, 36 on Tuesday, 40 on Wednesday, and 50 on Thursday. Brooke does three times as many jumping jacks as Sidney. How many jumping jacks did Brooke do?
Answer:
Sidney does 20 on Monday + 36 on Tuesday + 40 on Wednesday + 50 on Thursday = 146 jumping jacks. Brooke does 3 x 146 = 438 jumping jacks. The answer is 438.