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question:preparation for the upcoming Olympics, Rita's swimming coach requires her to swim a total of 1,500 hours. Rita has already completed x hours of backstroke, 9 hours of breaststroke, and 121 hours of butterfly, but she is unhappy with her inconsistency. She has therefore decided to dedicate 220 hours every month practicing freestyle and sidestroke. Rita has 6 months to fulfill her coach's requirements. 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 hours Rita has already completed in backstroke. Let's break down the information given: Number of hours of backstroke completed: x Number of hours of breaststroke completed: 9 Number of hours of butterfly completed: 121 Number of hours of freestyle and sidestroke practiced each month: 220 Number of months: 6 Total number of hours required: 1,500 We can set up the equation as follows: Number of hours of backstroke completed + Number of hours of breaststroke completed + Number of hours of butterfly completed + (Number of hours of freestyle and sidestroke practiced each month * Number of months) = Total number of hours required x + 9 + 121 + (220 * 6) = 1,500 Let's simplify and solve for x: x + 9 + 121 + 1,320 = 1,500 To isolate x, we subtract 1,450 from both sides of the equation: x + 9 + 121 + 1,320 - 1,450 = 1,500 - 1,450 x = 50 The value of x is 50. 50 The answer is: 50
question:f Leo caught 40 fish and Agrey caught 20 more fish than Leo, what is the total number of fish that Leo and Agrey caught together?
answer:Leo caught 40 fish. Agrey caught 20 more fish than Leo, so he caught 40 + 20 = 60 fish. Together, Leo and Agrey caught 40 + 60 = 100 fish. 100 The answer is: 100
question:the local frisbee league, teams have 7 members and each of the X teams takes turns hosting tournaments. At each tournament, each team selects two members of that team to be on the tournament committee, except the host team, which selects three members. There are 540 possible 9 member tournament committees. 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 teams in the local frisbee league. Let's break down the information given: Number of members per team: 7 Number of members on the tournament committee (excluding the host team): 2 Number of members on the tournament committee for the host team: 3 Total number of members on the tournament committee: 9 Total number of possible 9 member tournament committees: 540 We can set up the equation as follows: (Number of teams - 1) * Number of members on the tournament committee + Number of members on the tournament committee for the host team = Total number of members on the tournament committee (x - 1) * 2 + 3 = 9 Let's simplify and solve for x: 2x - 2 + 3 = 9 2x + 1 = 9 To isolate x, we subtract 1 from both sides of the equation: 2x + 1 - 1 = 9 - 1 2x = 8 To solve for x, we divide both sides of the equation by 2: x = 8 / 2 x = 4 The value of x is 4. The answer is: 4
question:On average, Betty harvests 20 boxes of parsnips from her vegetable garden. Each box can hold up to 20 parsnips, with three-quarters of the boxes being full and the remaining boxes being half-full. How many parsnips does Betty grow in an average harvest?
answer:Betty harvests 20 boxes of parsnips in total. Three-quarters of the boxes are full, so 20 * 3/4 = 15 boxes are full. The remaining boxes are half-full, so 20 - 15 = 5 boxes are half-full. Each full box can hold 20 parsnips, so 15 * 20 = 300 parsnips are in the full boxes. Each half-full box can hold 20/2 = 10 parsnips. So, the 5 half-full boxes hold 5 * 10 = 50 parsnips. In total, Betty grows 300 + 50 = 350 parsnips in an average harvest. 350 The answer is: 350