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question:Tina made a large pan of brownies and cut it into 24 pieces. She had one with lunch and dinner every day for x days. Her husband snagged one per day for 5 days to take to work. They shared 4 with dinner guests. How many brownies were left? If we know the answer to the above question is 5, what is the value of unknown variable x?
answer:Tina made a large pan of brownies and cut it into 24 pieces. She had one with lunch and dinner every day for x days, which means she ate x * 2 = 2x brownies. Her husband snagged one per day for 5 days to take to work, which means he ate 5 * 1 = 5 brownies. They shared 4 with dinner guests, which means they ate 4 * 1 = 4 brownies. The total number of brownies left is the initial number of brownies minus the number of brownies Tina and her husband ate: 24 - (2x + 5 + 4). We are given that the number of brownies left is 5, so we can write: 24 - (2x + 5 + 4) = 5. Simplifying the left side, we get: 24 - (2x + 9) = 5. Removing the parentheses, we get: 24 - 2x - 9 = 5. Combining like terms, we get: 15 - 2x = 5. Subtracting 15 from both sides, we get: -2x = -10. Dividing both sides by -2, we get: x = 5. The value of x is 5. 5 The answer is: 5
question:Courtney enjoys collecting marbles and stores them in mason jars. Her first jar contains 80 marbles, and her second jar contains twice that amount. She recently started her third jar, which currently holds 1/4 of the marbles in her first jar. What is the total number of marbles that Courtney has in all three jars?
answer:Courtney's first jar contains 80 marbles. Her second jar contains twice that amount, so it contains 2 * 80 = 160 marbles. Her third jar currently holds 1/4 of the marbles in her first jar, so it contains 1/4 * 80 = 20 marbles. The total number of marbles Courtney has in all three jars is 80 + 160 + 20 = 260 marbles. 260 The answer is: 260
question:The leak in Jerry's roof drips 3 drops a minute into the pot he put under it. Each drop is 20 ml, and the pot holds 3 liters. How long will it take the pot to be full?
answer:If the leak drips 3 drops a minute and each drop is 20 ml, then the pot collects 3 drops x 20 ml = 60 ml of water each minute. Since the pot holds 3 liters, which is equivalent to 3000 ml, it will take 3000 ml / 60 ml per minute = 50 minutes for the pot to be full. 50 The answer is: 50
question:Dorothy spent 53 to buy doughnut ingredients. If she made x doughnuts and sells each for 3, Her profit was 22. 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 number of doughnuts Dorothy made. Let's break down the information given: Cost of doughnut ingredients: 53 Number of doughnuts made: x Price per doughnut: 3 Profit: 22 We can set up the equation as follows: Number of doughnuts made * Price per doughnut - Cost of doughnut ingredients = Profit x * 3 - 53 = 22 Let's simplify and solve for x: 3x - 53 = 22 To isolate x, we add 53 to both sides of the equation: 3x - 53 + 53 = 22 + 53 3x = 75 To solve for x, we divide both sides of the equation by 3: x = 75 / 3 x = 25 The value of x is 25. 25 The answer is: 25