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question:John writes 3 stories every week. Each short story is 50 pages. He also writes a novel that is 1200 pages each year. Each sheet of paper can hold x pages. Over 12 weeks, He needs to buy 3 reams of paper if a ream contains 500 sheets. What is the value of unknown variable x? 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 pages that can be held by each sheet of paper. Let's break down the information given: Number of short stories written every week: 3 Number of pages per short story: 50 Number of pages in the novel written each year: 1200 Number of weeks in 12 weeks: 12 Number of reams of paper needed: 3 Number of sheets per ream of paper: 500 We can set up the equation as follows: (Number of short stories written every week * Number of pages per short story * Number of weeks) + Number of pages in the novel = Total number of pages (3 * 50 * 12) + 1200 = Total number of pages Let's simplify and solve for Total number of pages: (3 * 50 * 12) + 1200 = Total number of pages 1800 + 1200 = Total number of pages 3000 = Total number of pages To determine the number of sheets of paper needed, we divide the Total number of pages by the number of pages that can be held by each sheet of paper: 3000 / x = (Number of reams of paper * Number of sheets per ream of paper) 3000 / x = (3 * 500) 3000 / x = 1500 To solve for x, we divide both sides of the equation by 1500: 3000 / 1500 = x 2 = x The value of x is 2. 2 The answer is: 2
question:There were 15 males and 10 more girls at the party. Each attendee received 2 cans of soft drinks. If Mary bought several boxes of soft drinks where a box contains 8 cans and is priced at 5 for each box, how much did Mary spend on soft drinks?
answer:There were 15 males and 10 more girls at the party, so there were 15 + 10 = 25 girls. The total number of attendees at the party is 15 males + 25 girls = 40 attendees. Each attendee received 2 cans of soft drinks, so there were 40 attendees x 2 cans = 80 cans of soft drinks needed. A box contains 8 cans, so Mary needs to buy 80 cans / 8 cans per box = 10 boxes of soft drinks. Each box costs 5, so Mary spent 10 boxes x 5 per box = 50 on soft drinks. 50 The answer is: 50
question:Milo's parents tell him that he can win cash rewards for good grades. He will get 5 times the average grade he gets. He gets three 2s, four 3s, a 4, and a 5. How much cash does he get?
answer:Milo got a total of 3 x 2 + 4 x 3 + 1 x 4 + 1 x 5 = 6 + 12 + 4 + 5 = 27 points. He got a total of 3 + 4 + 1 + 1 = 9 grades. The average grade he got is 27 / 9 = 3. So, Milo will get 5 times 3 = 15 cash reward. 15 The answer is: 15
question:Bill and Phil are firehouse Dalmatians. Bill has one less than twice as many spots as Phil. If they have 59 spots combined, how many spots does Bill have?
answer:Let's assume that Phil has X spots. Bill has one less than twice as many spots as Phil, so Bill has 2X - 1 spots. The total number of spots they have combined is X + (2X - 1) = 3X - 1. We know that the total number of spots they have combined is 59, so 3X - 1 = 59. Adding 1 to both sides of the equation, we get 3X = 60. Dividing both sides of the equation by 3, we get X = 20. So, Phil has 20 spots. Substituting X = 20 into the equation 2X - 1, we get 2 * 20 - 1 = 39. Therefore, Bill has 39 spots. 39 The answer is: 39