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question:ley, Michael and Brandon were trying a marshmallow challenge to see who could hold more marshmallows in their mouths. Haley could hold x marshmallows in her mouth. Michael could hold 3 times as many marshmallows as Haley. Brandon could hold half as many as Michael. How many total marshmallows did all three kids hold in their mouths? If we know the answer to the above question is 44, what is the value of unknown variable x?
answer:Haley could hold x marshmallows in her mouth. Michael could hold 3 times as many marshmallows as Haley, which means Michael could hold 3x marshmallows. Brandon could hold half as many marshmallows as Michael, which means Brandon could hold (1/2)*3x = (3/2)x marshmallows. The total number of marshmallows all three kids held is the sum of the marshmallows each kid held: x + 3x + (3/2)x = (2/2)x + 6x/2 + 3x/2 = (11/2)x. We are given that the total number of marshmallows is 44, so we can write: (11/2)x = 44. Multiplying both sides by 2/11, we get: x = 8. The value of x is 8. 8 The answer is: 8
question:Blake bought 4 lollipops and 6 packs of chocolate. If each lollipop costs 2 and a pack of chocolate costs the same as four lollipops, Blake will get back 4 change if he gave the cashier x 10 bills. 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 10 bills Blake gave to the cashier. Let's break down the information given: Number of lollipops: 4 Cost per lollipop: 2 Number of packs of chocolate: 6 Cost per pack of chocolate: 4 * 2 = 8 Total cost of lollipops: 4 * 2 = 8 Total cost of chocolate: 6 * 8 = 48 Total cost of lollipops and chocolate: 8 + 48 = 56 Amount given to the cashier: x * 10 Change received: 4 We can set up the equation as follows: Amount given to the cashier - Total cost of lollipops and chocolate = Change received x * 10 - 56 = 4 Let's simplify and solve for x: 10x - 56 = 4 To isolate x, we add 56 to both sides of the equation: 10x - 56 + 56 = 4 + 56 10x = 60 To solve for x, we divide both sides of the equation by 10: x = 60 / 10 x = 6 The value of x is 6. 6 The answer is: 6
question:What is the total amount that Nina spends when buying three toys at 10 each, two packs of basketball cards at 5 each, and five shirts at 6 each?
answer:Nina buys three toys at 10 each, so she spends 3 x 10 = 30 on toys. She also buys two packs of basketball cards at 5 each, so she spends 2 x 5 = 10 on basketball cards. Lastly, she buys five shirts at 6 each, so she spends 5 x 6 = 30 on shirts. Therefore, in total, Nina spends 30 + 10 + 30 = 70. 70 The answer is: 70
question:f 5/8 of shoppers at the All Goods Available store prefer to use the express lane instead of the check-out line on weekends, and the total number of shoppers in the store is 480, what is the number of shoppers who choose to pay at the check-out lane?
answer:If 5/8 of shoppers prefer to use the express lane, then 3/8 prefer to use the check-out lane. So, the number of shoppers who choose to pay at the check-out lane is 3/8 * 480 = 180 180 The answer is: 180