Question: After receiving the $2000 stimulus check, Mr. Eithan decided to share the amount with his family. He gave 2/5 of the amount to his wife, 2/5 of the remaining amount to his first son, 40% of the remaining amount to his second son, and kept the remaining in their family savings account. Calculate the total amount he kept in the family's savings account.
Answer: The total amount of money Mr. Eithan gave to his wife is 2 / 5 * 2000 = $800. After giving his wife $800, he remained with $2000 - $800 = $1200. He gave his first son 2 / 5 of the remaining amount which is 2 / 5 * $1200 = $480. The total amount remaining after he gave his first 2 / 5 of the amount is $1200 - $480 = $720. He then gave his second son 40 / 100 * 720 = $288 of the money. After giving his second son $288, the amount of money remaining that he saved in the family's saving account is $720 - $288 = $432. The answer is 432.
[Question]A van is delivering 180 bottles of drinks to a neighborhood, and each bottle contains either cider or beer or a mixture of two. Out of the 180 bottles, 40 contain only cider, 80 contain only beer, and the rest are a mixture of the two drinks. If the delivery man gives half the number of each bottle of drink to the first house, how many bottles does the first house get?
[Answer]The total number of bottles containing cider or beer is 40 + 80 = 120. If the number of bottles in the van was 180, then 180 - 120 = 60 contains a mixture of the two drinks. At the first house, the delivery man dropped 1 / 2 * 40 = 20 bottles. There were also 1 / 2 * 80 = 40 bottles of beer that the delivery man gave to the first house. Together, the first house received 40 + 20 = 60 bottles of cider and beer. The total number of bottles that had a mixture of the two drinks that were dropped at the first house is 1 / 2 * 60 = 30. The first house got 60 + 30 = 90 bottles of all types of drinks. The answer is 90.
Q: Mark's basketball team scores 25 2 pointers, 8 3 pointers and 10 free throws. Their opponents score double the 2 pointers but half the 3 pointers and free throws. What's the total number of points scored by both teams added together?
A: Mark's team scores 25 2 pointers, meaning they scored 25 * 2 = 50 points in 2 pointers. His team also scores 6 3 pointers, meaning they scored 8 * 3 = 24 points in 3 pointers. They scored 10 free throws, and free throws count as one point so they scored 10 * 1 = 10 points in free throws. All together his team scored 50 + 24 + 10 = 84 points. Mark's opponents scored double his team's number of 2 pointers, meaning they scored 50 * 2 = 100 points in 2 pointers. His opponents scored half his team's number of 3 pointers, meaning they scored 24 / 2 = 12 points in 3 pointers. They also scored half Mark's team's points in free throws, meaning they scored 10 / 2 = 5 points in free throws. All together Mark's opponents scored 100 + 12 + 5 = 117 points. The total score for the game is both team's scores added together, so it is 84 + 117 = 201 points. The answer is 201.
Question: Martha receives a daily allowance of $12. She decides to save half of this amount every day. In the first week she kept her commitment with the exception of one day when she saved only a quarter of this amount. How much has she saved at the end of this week?
Answer: Half of $12 is (1 / 2) * $12 = $6. There are 7 days in a week so if she saved half every day except one then she saved half for 7 - 1 = 6 days. She saved $6 for 6 days for a total of $36. A quarter of $12 is (1 / 4) * $12 = $3. She saved a quarter once for a total savings of $3 + $36 = $39. The answer is 39.
[Question]Elliott drew a right-angle triangle on his book. It had a base of 4 inches, a height of 3 inches and a certain length of the hypotenuse. What was the length of the perimeter of the triangle that he drew?
[Answer]Since the hypotenuse of a triangle is found by the square root of the base squared plus the height squared. The square of the base of the first triangle is 4 * 4 = 16 square inches. The square of the height of the first triangle is 3 * 3 = 9 square inches. The sum of the squares of the base and the height of the first triangle is 16 + 9 = 25. The square root of the sum of the base and the height of the first triangle, which is the hypotenuse of the triangle, is 25 = 5 inches. Since the perimeter of a triangle is found by adding the sides of the triangle, the base and height of the triangle sum up to 3 + 4 = 7 inches. If you add the hypotenuse of the triangle the perimeter of the triangle becomes 7 + 5 = 12 inches. The answer is 12.
[Question]An animal shelter recently took in twelve cats. The shelter already had half that number of cats. Two days later, three had been adopted. The next day, one of the cats had five kittens, and one person arrived to pick up one of the cats that was their missing pet. How many cats does the shelter have now?
[Answer]
The shelter started with 12 / 2 = 6 cats. The cats they took in increased the number to 12 + 6 = 18 cats. Three cats were adopted, so they had 18 - 3 = 15 cats. One cat had 5 kittens, which increased the number of cats to 15 + 5 = 20 cats. The pet owner came to get his missing cat, so they now have 20 - 1 = 19 cats. The answer is 19.