[Question]Erica is telling her grandson about the animals she saw during her recent safari in Kenya's Maasai Mara. On Saturday, she saw 3 lions and 2 elephants. She spotted 2 buffaloes and 5 leopards on Sunday, and 5 rhinos and 3 warthogs on Monday. What is the total number of animals that Erica saw?
[Answer]On Saturday, Erica saw 3 + 2 = 5 animals. On Sunday she spotted 2 + 5 = 7 animals. On Monday, she saw 5 + 3 = 8 animals. Adding up all the animals Erica saw gives a total of 5 + 7 + 8 = 20 animals. The answer is 20.
Q: Sam invested $10,000 and earned 20% interest compounded for 3 years. He then invested more until he had three times as much invested. The next year, he got a 15% return on his investment. How much money does he have now?
A: After one year, Sam had $10,000 * 1.2 = $12,000. After two years, he had $12,000 * 1.2 = $14,400. After the third year, he had $14,400 * 1.2 = $17,280. He then invested more money until he had 3 * $17,280 = $51,840. The first year after that, he had $51,840 * 1.15 = $59,616. The answer is 59616.
Question: Jonah bought 6 pineapples for $3 each. Each pineapple could be cut into 12 pineapple rings. He sold 4 pineapple rings for $5 each. How much profit did Jonah make?
Answer: Jonah spent 6 x $3 = $18. He made a total of 6 x 12 = 72 pineapple rings. He sold 72 / 4 = 18 sets of pineapple rings. He made 18 x $5 = $90. His profit was $90 - $18 = $72. The answer is 72.
[Question]On Rudolph's car trip across town, he traveled 2 more than 5 miles and encountered 3 less than 17 stop signs. How many stop signs per mile did Rudolph encounter on his trip across town?
[Answer]He traveled 2 more than 5 miles, or 5 + 2 = 7 miles. He encountered 3 less than 17 stop signs, or 17 - 3 = 14 stop signs. Thus, during his trip across town, Rudolph encountered 14 / 7 = 2 stop signs per mile. The answer is 2.
Q: If 1 ounce of Dawn liquid soap can make 200,000 bubbles, and Dr. Bronner's liquid soap can make twice as many bubbles per ounce as Dawn liquid soap, then how many bubbles can be made from one half ounce of an equal mixture of Dawn and Dr. Bronner's liquid soaps?
A: One half of a 1 / 2 - ounce liquid is (1 / 2) * (1 / 2) = 1 / 4 ounces. 1 / 4 ounce of Dawn liquid soap can make (1 / 4) * 200,000 = 50,000 bubbles. 1 / 4 ounce of Dr. Bronner's liquid soap can make 2 * (1 / 4) * 200,000 = 100,000 bubbles. Therefore, a half ounce of an equal mixture of Dawn and Dr. Bronner's liquid soaps can make 50,000 + 100,000 = 150,000 bubbles. The answer is 150000.
Question: Bill composes 20 total math questions for money. Ryan composes twice as many problems as Bill, and Frank composes 3 times as many as Ryan. Assuming each person has to compose 4 different types of math problems in equal proportion out of the total amount, how many problems of each type does Frank compose?
Answer:
Since Ryan composes twice as many problems as Bill's total of 20, this means Ryan composes 20 * 2 = 40 problems. Frank composes 3 times as many as Ryan does, so this means Frank composes 40 * 3 = 120 problems. Since Frank needs to submit 4 types of problems in equal proportion out of his total, this means he needs to make 120 / 4 = 30 problems of each type. The answer is 30.