The ratio of the number of chocolate cakes to the total number of cakes in a shop was 3:8. \( {1 \over 2}\frac{}{}\)of the remaining cakes in the shop were cheese cakes and the rest were lemon cakes and vanilla cakes in the ratio 2:1. There were 120 more cheese cakes than vanilla cakes in the shop.
(a) How many chocolate cakes were there?
(b) All the chocolate cakes were sold at 2 for $5. How much money was collected form selling all the chocolate cakes?