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question:Shelly makes braided keychains for her friends at school. Each keychain takes 12 inches of thread to braid. This year, she made six friends in classes and half that number from after-school clubs. She wants to make each of them a keychain. How many inches of thread does Shelly need?
answer:Shelly made 6 friends in classes, so she needs 6 keychains for them. She also made half that number from after-school clubs, which is 6/2 = 3 keychains. In total, Shelly needs to make 6 + 3 = 9 keychains. Each keychain takes 12 inches of thread to braid, so Shelly needs 9 * 12 = 108 inches of thread. 108 The answer is: 108
question:Cheryl ate 7 m&m's after lunch. She ate 5 m&m's after dinner, and she gave some to her sister. If Cheryl had x m&m's at the beginning, She gave 13 to her sister. 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 m&m's Cheryl had at the beginning. Let's break down the information given: Number of m&m's Cheryl ate after lunch: 7 Number of m&m's Cheryl ate after dinner: 5 Number of m&m's Cheryl gave to her sister: 13 We can set up the equation as follows: Number of m&m's Cheryl had at the beginning - Number of m&m's Cheryl ate after lunch - Number of m&m's Cheryl ate after dinner - Number of m&m's Cheryl gave to her sister = 0 (since she has none left) x - 7 - 5 - 13 = 0 Let's simplify and solve for x: x - 25 = 0 To isolate x, we add 25 to both sides of the equation: x - 25 + 25 = 0 + 25 x = 25 The value of x is 25. 25 The answer is: 25
question:What is the minimum number of students in a math class where, when they lined up for a class picture, there was one person left over when they stood in rows of four, two extra students when they formed rows of five, and three students left over when they lined up in rows of seven?
answer:We are looking for the smallest number that is congruent to 1 modulo 4, congruent to 2 modulo 5, and congruent to 3 modulo 7. We can start by listing out numbers that satisfy each of these congruences: [ begin{aligned} 1, 5, 9, 13, 17, 21, 25, 29, ldots 2, 7, 12, 17, 22, 27, 32, 37, ldots 3, 10, 17, 24, 31, 38, 45, 52, ldots end{aligned} ] We can see that 17 is the smallest number that satisfies all three congruences, so the minimum number of students is boxed{17}. The answer is: 17
question:f the cost of eight apples is equal to the cost of four bananas, and the cost of two bananas is equal to the cost of three cucumbers, how many cucumbers can Tyler purchase for the price of 16 apples?
answer:If 8 apples cost the same as 4 bananas, then 16 apples would cost the same as 8 bananas. Similarly, if 2 bananas cost the same as 3 cucumbers, then 8 bananas would cost the same as 12 cucumbers. Therefore, for the price of 16 apples, Tyler can purchase boxed{12} cucumbers.The answer is: 12