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question:Jamal bought 4 half dozen colored crayons at 2 per crayon. What was the total cost of the crayons that she bought?
answer:A half dozen is equal to 6 crayons. So, Jamal bought 4 x 6 = 24 colored crayons. The cost per crayon is 2. Therefore, the total cost of the crayons is 24 x 2 = 48. 48 The answer is: 48
question:Jackson wants to improve his endurance running. His goal is to start by running 3 miles a day the first week, then spend the next x weeks running one additional mile/day each week. Jackson is running 7 miles each day at the end of this exercise program. 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 weeks it took for Jackson to reach his goal of running 7 miles a day. Let's break down the information given: Number of miles Jackson runs the first week: 3 Number of additional miles Jackson runs each week: 1 Total number of miles Jackson runs at the end of the exercise program: 7 We can set up the equation as follows: Number of miles Jackson runs the first week + (Number of weeks * Number of additional miles per week) = Total number of miles at the end 3 + (x * 1) = 7 Let's simplify and solve for x: 3 + x = 7 To isolate x, we subtract 3 from both sides of the equation: 3 + x - 3 = 7 - 3 x = 4 The value of x is 4. 4 The answer is: 4
question:The sum of Cooper’s, Dante’s, and Maria’s ages is 31. Dante is twice as old as Cooper. Maria is x year older than Dante. Cooper is 6 years old. 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 age difference between Maria and Dante. Let's break down the information given: Cooper's age: 6 years Dante's age: 2 * Cooper's age = 2 * 6 = 12 years Maria's age: Dante's age + x years Sum of their ages: Cooper's age + Dante's age + Maria's age = 31 years We can set up the equation as follows: Cooper's age + Dante's age + Maria's age = Sum of their ages 6 + 12 + (12 + x) = 31 Let's simplify and solve for x: 6 + 12 + 12 + x = 31 30 + x = 31 To isolate x, we subtract 30 from both sides of the equation: 30 + x - 30 = 31 - 30 x = 1 The value of x is 1. 1 The answer is: 1
question:Miss Adamson has four classes with x students each. She makes a study guide for her class and uses 5 sheets of paper per student. She will use 400 sheets of paper for all of her students. 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 students in each of Miss Adamson's classes. Let's break down the information given: Number of classes: 4 Number of sheets of paper used per student: 5 Total number of sheets of paper used: 400 We can set up the equation as follows: Number of classes * Number of students per class * Number of sheets of paper used per student = Total number of sheets of paper used 4 * x * 5 = 400 Let's simplify and solve for x: 20x = 400 To isolate x, we divide both sides of the equation by 20: 20x / 20 = 400 / 20 x = 20 The value of x is 20. 20 The answer is: 20