human
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?
assistant
How many candies in total are there? ** Total number of candies is 200/2.5=<<200/2.5=80>>80 candies.
Define a variable ** Let x be the number of cherry candies.
How many grape candies are there? ** There are 3*x grape candies.
How many apple candies are there? ** There are 2*3*x=6*x apple candies.
Write an equation ** x+3*x+6*x=80
Simplify ** 10*x=80
Simplify ** x=<<8=8>>8
How many grape candies are there? ** There are 8*3=<<8*3=24>>24 grape candies.
#### 24