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question:Jason drives past 3 convenience stores on his way to work. The distance between the first store and the second store is 6 miles. The distance between the second store and third store is 2/3rds longer than the distance between the first two stores. The distance from his house to the first store and the last store to work is the same, 4 miles. How long in miles is Jason's commute to work?
answer:The distance between the first two stores is 6 miles. The distance between the second and third store is 2/3 * 6 = 4 miles longer than the distance between the first two stores. So, the distance between the second and third store is 6 + 4 = 10 miles. The total distance between the three stores is 6 + 10 = 16 miles. Adding the distance from his house to the first store and the last store to work, his total commute is 16 + 4 + 4 = 24 miles. 24 The answer is: 24
question:14 less than two times the number of koi fish in the pond is 64. How many koi fish will you find in the pond?
answer:Let's represent the number of koi fish in the pond as X. "Two times the number of koi fish" can be written as 2X. "14 less than two times the number of koi fish" can be written as 2X - 14. According to the given information, 2X - 14 = 64. To solve for X, we can add 14 to both sides of the equation: 2X = 64 + 14 = 78. Finally, we divide both sides of the equation by 2 to solve for X: X = 78 / 2 = 39. Therefore, there are 39 koi fish in the pond. 39 The answer is: 39
question:Janet buys a multi-flavor pack of cheese sticks. 15 of the sticks are cheddar, 30 are mozzarella, and x are pepperjack. If Janet picks a cheese stick at random, The percentage chance it will be pepperjack is 50. 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 pepperjack cheese sticks in the multi-flavor pack. Let's break down the information given: Number of cheddar cheese sticks: 15 Number of mozzarella cheese sticks: 30 Number of pepperjack cheese sticks: x Total number of cheese sticks: 15 + 30 + x The percentage chance of picking a pepperjack cheese stick: 50% We can set up the equation as follows: Number of pepperjack cheese sticks / Total number of cheese sticks = Percentage chance of picking a pepperjack cheese stick x / (15 + 30 + x) = 50% Let's convert the percentage to a decimal: 50% = 0.50 Now, let's simplify and solve for x: x / (15 + 30 + x) = 0.50 To isolate x, we multiply both sides of the equation by (15 + 30 + x): x = 0.50 * (15 + 30 + x) x = 7.5 + 15 + 0.50x To isolate x, we subtract 0.50x from both sides of the equation: x - 0.50x = 7.5 + 15 0.50x = 22.5 To solve for x, we divide both sides of the equation by 0.50: x = 22.5 / 0.50 x = 45 The value of x is 45. 45 The answer is: 45
question:Tony lifts weights as a form of exercise. He can lift 90 pounds with one arm in the exercise known as "the curl." In an exercise known as "the military press," he can lift over his head twice the weight that he can curl. His favorite exercise is known as "the squat" and he can squat 5 times the weight that he can lift in the military press. How much weight, in pounds, can Tony lift in the squat exercise?
answer:Tony can lift 90 pounds with one arm in the curl exercise. In the military press exercise, he can lift twice the weight that he can curl, so he can lift 90 x 2 = 180 pounds. In the squat exercise, Tony can lift 5 times the weight that he can lift in the military press, so he can lift 180 x 5 = 900 pounds. Therefore, Tony can lift 900 pounds in the squat exercise. 900 The answer is: 900