Question: In his company, Kenzo has 80 office chairs with five legs each and 20 round tables with three legs each. If after a month 40% of the chairs are damaged and have to be disposed of, calculate the total number of legs of furniture Kenzo has remaining in his company.
Answer: The number of chairs that are disposed of after they're found to be damaged is 40 / 100 * 80 = 32. The number of chairs in good condition in Kenzo's company is 80 - 32 = 48. The 48 chairs have 48 * 5 = 240 legs. The round tables also have 20 * 3 = 60 legs. In total, the furniture in Kenzo's company has 60 + 240 = 300 legs. The answer is 300.
[Question]If I give my brother 2 marbles I will have double his number of marbles, but my friend will have triple the number I do. The total number of marbles we have together is 63. How many marbles do I have?
[Answer]Let X be the number of marbles I have. If I give my brother 2 marbles, I'll have X - 2 marbles left. And my brother will have (X - 2) / 2 marbles. And my friend will have (X - 2) * 3 left. So the total number of marbles is X - 2 + (X - 2) / 2 + (X - 2) * 3 = 63. (X - 2) * 9 / 2 = 63. X - 2 = 14. X = 16 marbles. The answer is 16.
Q: When Jane visited Iran, she visited 6 more than twice as many rehabilitation centers as Han. Han visited 2 less than twice as many rehabilitation centers as Jude did. Jude visited half fewer rehabilitation centers as Lisa did. If Lisa visited 6 rehabilitation centers, how many rehabilitation centers did they all visit assuming they are all different?
A: Jude visited 1 / 2 * 6 = 3 rehabilitation centers. Han visited 2 * 3 - 2 = 4 rehabilitation centers. Jane visited 6 + 2 * 4 = 14 rehabilitation centers. They all visited 6 + 3 + 4 + 14 = 27 rehabilitation centers. The answer is 27.
Question: Billy is reducing raspberry juice down to make syrup. He reduces 6 quarts of juice to 1/12 of its original volume, then adds 1 cup of sugar. What is the final volume of the syrup in cups? (There are 4 cups in a quart)
Answer: First find the total number of cups of juice: 6 quarts * 4 cups / quart = 24 cups. Then find the reduced volume of the juice: 24 cups * 1 / 12 = 2 cups. Then add the volume of the sugar to find the total volume of the syrup: 2 cups + 1 cups = 3 cups. The answer is 3.
[Question]The United States flag has 50 stars, one for every state in the union, and 13 stripes, which represent the original 13 colonies. Pete, inspired by history, decided to make his own flag. He used circles, to represent how many scoops of ice cream he can consume in one sitting, and squares, to represent the number of brownies he has hidden beneath his bed. For circles, he used 3 less than half the number of stars on the US flag, and for squares, he used six more than twice the number of stripes on the US flag. What is the combined total number of circles and squares on Pete's flag?
[Answer]Half the number of stars on the US flag is 50 / 2 = 25. Three less than half the number of stars on the US flag is 25 - 3 = 22 circles. Twice the number of stripes on the US flag is 13 * 2 = 26. Six more than twice the number of stripes on the US flag is 26 + 6 = 32 squares. In total, Pete's flag has 22 + 32 = 54 circles and squares. The answer is 54.
[Question]There is a 5,200 sq. ft. house and a 7,300 sq. ft. house next to each other. The smaller house is being expanded. If the new total square footage of both houses is 16,000 sq. ft., how much is the smaller house being expanded by, in sq. ft.?
[Answer]
Originally, the houses are 7300 + 5200 = 12500 sq. ft. in total. The smaller house will be expanded by 16000 - 12500 = 3500 sq. ft. The answer is 3500.