There were 184 more chocolates than sweets at a candy store at first. At the end of the day, the number of chocolates at first to the number of chocolates sold was 8:3 and the number of sweets sold to the number of sweets left became 2:3. The number of sweets left was half the number of chocolates left. How many more chocolates than sweets were sold?

to start, there were

c = s+184
then they sold 3/8 of the chocolates and 2/5 of the sweets
3/5 s = 1/2 (5/8 c)
s=200
c=384
3/8 * 384 - 2/5 * 200 = 64

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