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question:f there are initially 8 red pens in Maria's desk drawer and there are 10 more black pens and 7 more blue pens than red pens, what is the total number of pens in the drawer?
answer:Maria initially has 8 red pens. There are 10 more black pens than red pens, so there are 8 + 10 = 18 black pens. There are also 7 more blue pens than red pens, so there are 8 + 7 = 15 blue pens. The total number of pens in the drawer is 8 + 18 + 15 = 41 pens. 41 The answer is: 41
question:Tom uses 10 weight plates each weighing x pounds on an exercise machine. This exercise machine uses special technology to make the weights 20% heavier on the lowering portion. The weights felt 360 heavy when being lowered. What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents the weight of each weight plate in pounds. Let's break down the information given: Number of weight plates: 10 Weight felt when lowering: 360 pounds The weights are 20% heavier on the lowering portion. We can set up the equation as follows: Weight of each weight plate * Number of weight plates * 1.2 = Weight felt when lowering x * 10 * 1.2 = 360 Let's simplify and solve for x: 12x = 360 To isolate x, we divide both sides of the equation by 12: 12x / 12 = 360 / 12 x = 30 The value of x is 30. 30 The answer is: 30
question:Penny has 20. Penny buys x pairs of socks for 2 a pair and a hat for 7. How much money does Penny have left? If we know the answer to the above question is 5, what is the value of unknown variable x?
answer:Penny buys x pairs of socks for 2 a pair, so the cost of the socks is 2x. Penny also buys a hat for 7. The total cost of the socks and the hat is 2x + 7. Penny started with 20, so the amount of money she has left is 20 - (2x + 7). We are given that Penny has 5 left, so we can write: 20 - (2x + 7) = 5. Simplifying the left side, we get: 20 - 2x - 7 = 5. Combining like terms, we get: 13 - 2x = 5. Subtracting 13 from both sides, we get: -2x = -8. Dividing both sides by -2, we get: x = 4. The value of x is 4. 4 The answer is: 4
question:f 68% of all pies are eaten with forks and there are 2000 pies in total, what is the number of pies that are not eaten with forks?
answer:If 68% of all pies are eaten with forks, then 100% - 68% = 32% of pies are not eaten with forks. 32% of 2000 pies is calculated as 32/100 * 2000 = 640 pies. Therefore, the number of pies that are not eaten with forks is 640. 640 The answer is: 640