Give the step-by-step reasoning process and then the final answer. At the new store, there are 3 times as many grape candies as cherry candies, and 2 times as many apple candies as grape candies. All the candies cost $2.50 each. If the total cost of the candies is $200, how many grape candies does the store have?
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Total number of candies is 200 / 2.5 = 80 candies. Let x be the number of cherry candies. There are 3 * x grape candies. There are 2 * 3 * x = 6 * x apple candies. x + 3 * x + 6 * x = 80. 10 * x = 80. x = 8. There are 8 * 3 = 24 grape candies.
The final answer: 24.
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