Jenson had some cranberry cupcakes and vanilla cupcakes. He gave away 60 cupcakes to his brother. 20% of them were cranberry cupcakes and the rest were vanilla cupcakes.

1. How many vanilla cupcakes did he give his brother?
2. Jenson gave some cranberry cupcakes to his sister. ⁵₇ of all the cupcakes he gave away to his brother and his sister were cranberry cupcakes. How many cranberry cupcakes did he give his sister?

(a)
Percentage of vanilla cupcakes
= 100% - 20%
= 80%

Number of vanilla cupcakes that Jenson gave to his brother
= 80% x 60
= ⁸⁰₁₀₀ x 60
= 48 

(b)
Fraction of all the cupcakes he gave away to his brother and his sister that were vanilla cupcakes
= 1 - ⁵₇
= ²₇

2 u = 48

1 u = 48 ÷ 2 = 24

Number of cranberry cupcakes that Jenson gave to his brother and his sister
= 5 u
= 5 x 24
= 120

Number of cranberry cupcakes that Jenson gave to his brother
= 60 - 48
= 12

Number of cranberry cupcakes that Jenson gave to his sister
= 120 - 12
= 108

Answer(s): (a) 48; (b) 108