Question

Joe baked some cupcakes. 3/5 of them blueberry cupcakes and the rest were chocolate cupcakes. There were 36 more blueberry than chocolate cupcakes. When he baked 36 more cupcakes in the afternoon, the number of chocolate cupcakes became 3/8 of the total number of cupcakes. (a) How many cupcakes did Joe bake in the morning? (b) How many more blueberry cupcakes did Joe bake in the afternoon?

Answer 1

let the total no. of cupcakes in morning be x
let blueberry be b and chocolate be c
so , b is 3x/5 and c is 2x/5
atq. c + 36 = b
2x/5 + 36 = 3x/5
36 = x/5
so x is 180 cupcakes
no of c is 2.180/5 = 72
no of b is 108
now he bakes 216 cupcakes in afternoon
no of c will be 3×216/8 = 81
it means that 9 c cupcakes more in afternoon
so he bakes 27 more b cupcakes
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