MIT

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question:f the new pad of paper initially had 120 pages and Sammy used 25% of the pages for his science project, as well as an additional 10 pages for his math homework, how many pages are left in the pad?

answer:If Sammy used 25% of the pages for his science project, then he used 120 * 0.25 = 30 pages. He also used an additional 10 pages for his math homework. So in total, Sammy used 30 + 10 = 40 pages. Therefore, there are 120 - 40 = 80 pages left in the pad. 80 The answer is: 80

question:f two-fifths of the seats in an auditorium that can hold 500 people are currently occupied and 1/10 of the seats are broken, how many seats are still available?

answer:The auditorium can hold 500 people. If two-fifths of the seats are currently occupied, then 2/5 * 500 = 200 seats are occupied. If 1/10 of the seats are broken, then 1/10 * 500 = 50 seats are broken. The total number of seats that are either occupied or broken is 200 + 50 = 250. Therefore, the number of seats still available is 500 - 250 = 250. 250 The answer is: 250

question:The Happy Valley Kennel has X chickens, 2 dogs, and 5 cats. (Some people in Happy Valley like to keep chickens as pets!) In how many ways can the 11 animals be placed in a row of 11 cages, such that all of the animals of each type are in adjacent cages? (Two animals of the same species are considered distinguishable. The answer is 560. What is the value of unknown variable X?

answer:To solve this problem, we need to determine the value of x, which represents the number of chickens at the Happy Valley Kennel. Let's break down the information given: Number of chickens: x Number of dogs: 2 Number of cats: 5 Total number of animals: 11 We can set up the equation as follows: Number of chickens + Number of dogs + Number of cats = Total number of animals x + 2 + 5 = 11 Let's simplify and solve for x: x + 7 = 11 To isolate x, we subtract 7 from both sides of the equation: x + 7 - 7 = 11 - 7 x = 4 The value of x is 4. The answer is: 4

question:Jill bought 5 packs of red bouncy balls and x packs of yellow bouncy balls. Each package contained 18 bouncy balls. How many more red bouncy balls than yellow bouncy balls did Jill buy? If we know the answer to the above question is 18, what is the value of unknown variable x?

answer:Jill bought 5 packs of red bouncy balls, which means she bought 5 * 18 = 90 red bouncy balls. She also bought x packs of yellow bouncy balls, which means she bought x * 18 yellow bouncy balls. The difference between the number of red bouncy balls and yellow bouncy balls is 90 - x * 18. We are given that this difference is 18, so we can write: 90 - x * 18 = 18. Simplifying the equation, we get: -x * 18 = 18 - 90 = -72. Dividing both sides by -18, we get: x = 4. The value of x is 4. 4 The answer is: 4