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question:f Jason is adding 900 ml of water to his batch of black paint and needs to add 2 grams of charcoal for every 30 ml of water, how much charcoal does he need to add?
answer:Jason is adding 900 ml of water to his batch of black paint. For every 30 ml of water, he needs to add 2 grams of charcoal. To find out how much charcoal he needs to add, we can set up a proportion. The ratio of water to charcoal is 30 ml : 2 grams. So, if he is adding 900 ml of water, we can set up the proportion: 30 ml / 2 grams = 900 ml / x grams. To solve for x, we can cross multiply: 30 * x = 2 * 900. Simplifying, we get: 30x = 1800. Dividing both sides by 30, we find that x = 60. Therefore, Jason needs to add 60 grams of charcoal to his batch of black paint. 60 The answer is: 60
question:f the total amount of gas used by Felicity and Adhira for their separate trips is 30 gallons, and Felicity used 5 less gallons than four times the amount Adhira used, how many gallons of gas did Felicity use?
answer:Let's represent the amount of gas used by Adhira as 'x' gallons. According to the given information, Felicity used 5 less gallons than four times the amount Adhira used, so Felicity used 4x - 5 gallons. The total amount of gas used by both of them is 30 gallons, so we can set up the equation: x + (4x - 5) = 30. Simplifying the equation, we get 5x - 5 = 30. Adding 5 to both sides of the equation, we get 5x = 35. Dividing both sides by 5, we get x = 7. Therefore, Adhira used 7 gallons of gas. To find out how many gallons of gas Felicity used, we substitute the value of x into the equation for Felicity's gas usage: 4x - 5 = 4(7) - 5 = 28 - 5 = 23. So, Felicity used 23 gallons of gas. 23 The answer is: 23
question:Tom has a job mowing lawns around his neighborhood. Each month he spends 17 on gas and mows 3 lawns, charging x per lawn mowed. Last month he also made extra money pulling weeds for 10. Tom earned 29 profit last month. 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 amount Tom charges per lawn mowed. Let's break down the information given: Cost of gas per month: 17 Number of lawns mowed per month: 3 Amount earned for pulling weeds: 10 Total profit earned last month: 29 We can set up the equation as follows: (3 * x) - 17 + 10 = 29 Let's simplify and solve for x: 3x - 17 + 10 = 29 3x - 7 = 29 To isolate x, we add 7 to both sides of the equation: 3x - 7 + 7 = 29 + 7 3x = 36 To solve for x, we divide both sides of the equation by 3: x = 36 / 3 x = 12 The value of x is 12. 12 The answer is: 12
question:Carson leans over the railing at the zoo to get the perfect selfie and falls into the combined wombat and rhea enclosure. There are 9 wombats and 3 rheas. If each wombat claws him x times and each rhea claws him once, He gets clawed 39 times. 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 times each wombat claws Carson. Let's break down the information given: Number of wombats: 9 Number of rheas: 3 Total number of times Carson gets clawed: 39 We can set up the equation as follows: Number of wombats * Number of times each wombat claws + Number of rheas * Number of times each rhea claws = Total number of times Carson gets clawed 9x + 3 * 1 = 39 Let's simplify and solve for x: 9x + 3 = 39 To isolate x, we subtract 3 from both sides of the equation: 9x + 3 - 3 = 39 - 3 9x = 36 To solve for x, we divide both sides of the equation by 9: x = 36 / 9 x = 4 The value of x is 4. 4 The answer is: 4