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question:Clarissa is responsible for getting 10 copies of a manuscript printed and having each copy bound. The printers charge 0.05 per page to copy it and x per manuscript to have it bound. If the manuscript is 400 pages, It will cost 250 to have it copied and bound 10 times. What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents the cost per manuscript to have it bound. Let's break down the information given: Number of copies of the manuscript: 10 Cost per page to copy: 0.05 Number of pages in the manuscript: 400 Total cost to copy the manuscript: 250 Total cost to copy and bind the manuscript 10 times: 250 We can set up the equation as follows: (Number of copies * Cost per page to copy * Number of pages) + (Number of copies * Cost per manuscript to bind) = Total cost to copy and bind (10 * 0.05 * 400) + (10 * x) = 250 Let's simplify and solve for x: 200 + 10x = 250 To isolate x, we subtract 200 from both sides of the equation: 200 - 200 + 10x = 250 - 200 10x = 50 To solve for x, we divide both sides of the equation by 10: x = 50 / 10 x = 5 The value of x is 5. 5 The answer is: 5
question:f Elle practices piano for 30 minutes each day from Monday to Friday and three times as much on Saturday compared to a weekday, how many hours does she spend practicing piano each week?
answer:Elle practices piano for 30 minutes each day from Monday to Friday, so that's a total of 30 minutes x 5 days = 150 minutes. There are 60 minutes in an hour, so 150 minutes is equal to 150/60 = 2.5 hours. On Saturday, Elle practices three times as much as on a weekday, so that's 3 x 30 minutes = 90 minutes. Again, there are 60 minutes in an hour, so 90 minutes is equal to 90/60 = 1.5 hours. Adding up the time for the weekdays and Saturday, Elle spends 2.5 hours + 1.5 hours = 4 hours practicing piano each week. 4 The answer is: 4
question:f Madeline needs 1200 for rent, 400 for groceries, 200 for medical expenses, 60 for utilities, and wants to save 200 for emergencies, and she earns 15 per hour at her job, how many hours does Madeline need to work this month?
answer:Madeline needs a total of 1200 + 400 + 200 + 60 + 200 = 2060 for all her expenses and savings. Since she earns 15 per hour, she needs to work 2060 / 15 = 137.33 hours. Since she cannot work a fraction of an hour, she will need to work 138 hours. 138 The answer is: 138
question:On a particular week, Fatima's restaurant served 25 people food and drinks, and 3/5 of that number came to buy coffee. How many people did not buy coffee in the restaurant?
answer:Out of the 25 people, 3/5 of them came to buy coffee, so the number of people who bought coffee is 25 * 3/5 = 15 The number of people who did not buy coffee is 25 - 15 = 10 Therefore, 10 people did not buy coffee in the restaurant. 10 The answer is: 10