Asher had some cranberry cupcakes and apple cupcakes. He gave away 96 cupcakes to his brother. 25% of them were cranberry cupcakes and the rest were apple cupcakes.

1. How many apple cupcakes did he give his brother?
2. Asher gave some cranberry cupcakes to his cousin. ³₅ of all the cupcakes he gave away to his brother and his cousin were cranberry cupcakes. How many cranberry cupcakes did he give his cousin?

(a)
Percentage of apple cupcakes
= 100% - 25%
= 75%

Number of apple cupcakes that Asher gave to his brother
= 75% x 96
= ⁷⁵₁₀₀ x 96
= 72 

(b)
Fraction of all the cupcakes he gave away to his brother and his cousin that were apple cupcakes
= 1 - ³₅
= ²₅

2 u = 72

1 u = 72 ÷ 2 = 36

Number of cranberry cupcakes that Asher gave to his brother and his cousin
= 3 u
= 3 x 36
= 108

Number of cranberry cupcakes that Asher gave to his brother
= 96 - 72
= 24

Number of cranberry cupcakes that Asher gave to his cousin
= 108 - 24
= 84

Answer(s): (a) 72; (b) 84