Use reasoning to lead to the answer of the following question:
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?

24
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.

.

Final answer: 24