In a cookie shop, 3/4 of the cookies baked were chocolate cookies and the rest were strawberry cookies. After 222 chocolate cookies and 2/5 of the strawberry cookies were sold, the number of strawberry cookies left were 1/3 the number of chocolate cookies left.

(a) How many more chocolate cookies than strawberry cookies were sold?
(b) How many cookies were baked at first?

1 answer

If there were x cookies to start with, then
3/4 x - 222 = 3(1/4 x - (2/5)(1/4 x))
(b) x = 740 cookies in all were baked
Now you can answer (a)