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? Let's think step by step and output the final answer after "####".
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Total number of candies is 200/2.5=<<200/2.5=80>>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=8>>8
There are 8*3=<<8*3=24>>24 grape candies.
#### 24
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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