[Question]There are ten more newborn elephants than baby hippos. If an entire herd starts with 20 elephants and 35 hippos, and the female hippos, whose number is 5/7 of the total number of hippos, give birth to 5 new baby hippos each, find the number of animals that are there altogether?
[Answer]The total number of female hippos is 5 / 7 * 35 = 25. If each new hippo gives birth to 5 new baby hippos, the total number of baby hippos will be 5 * 25 = 125. The population of hippos after 125 new ones are born is 125 + 35 = 160. There are ten more newborn elephants than baby hippos, meaning there are 125 + 10 = 135 new baby elephants. The population of elephants is 135 + 20 = 155. Altogether, there are 155 + 160 = 315 animals. The answer is 315.
Q: Elmo has 3 times as many books as his sister, Laura. Laura has twice as many books as her brother, Stu. If Elmo has 24 books, how many books does Stu have?
A: Laura has 24 / 3 = 8 books. Stu has 8 / 2 = 4 books. The answer is 4.
Question: Mara has 12 bags with 2 marbles in each bag. Markus has 2 bags with 13 marbles in each bag. How many more marbles does Markus have?
Answer: Mara has 2 x 12 = 24 marbles. Markus has 2 x 13 = 26 marbles. Markus has 26 - 24 = 2 more marbles than Mara. The answer is 2.
[Question]Yulia was able to net $44 in profit this week. Her lemonade stand made a gross revenue of $47 this week. She was also able to babysit and made $31. However, her lemonade stand is expensive to run because she needs to buy lemons, sugar, and sunscreen. How much did she spend to operate her lemonade stand, in dollars?
[Answer]Yulia's total gross revenue was $47 + $31 = $78. To calculate her overhead we must subtract her total profit from her gross revenue which is $78 - $44 = $34. The answer is 34.
Q: Nancy is filling an aquarium for her fish. She fills it halfway and goes to answer the door. While she's gone, her cat knocks the aquarium over and spills half the water in it. Then Nancy comes back and triples the amount of water in the aquarium. If the aquarium is 4 feet long, 6 feet wide, and 3 feet high, how many cubic feet of water are in the aquarium?
A: First calculate the volume of the aquarium by multiplying its length, width and height: 4 ft * 6 ft * 3 ft = 72 cubic ft. Then figure out what proportion of the aquarium is full after the cat knocks it over: 1 / 2 * 1 / 2 = 1 / 4. Then figure out what proportion of the aquarium is full after Nancy refills it: 3 * 1 / 4 = 3 / 4. Now multiply the proportion of the aquarium that's full by the aquarium's volume to find out how much water is in it: 72 cubic ft * 3 / 4 = 54 cubic ft. The answer is 54.
Question: Amanda needs 12 more marbles to have twice as many marbles as Katrina, and Mabel has 5 times as many marbles as Katrina. If Mabel has 85 marbles, how many more marbles does Mabel have than Amanda?
Answer:
Katrina has 85 / 5 = 17 marbles. Twice as many marbles as Katrina is 17 x 2 = 34. Amanda has 34 - 12 = 22 marbles. Mabel has 85 - 22 = 63 more marbles than Amanda. The answer is 63.