Peter had some banana cupcakes and chocolate chip cupcakes. He gave away 55 cupcakes to his brother. 40% of them were banana cupcakes and the rest were chocolate chip cupcakes.

1. How many chocolate chip cupcakes did he give his brother?
2. Peter gave some banana cupcakes to his cousin. ⁴₇ of all the cupcakes he gave away to his brother and his cousin were banana cupcakes. How many banana cupcakes did he give his cousin?

(a)
Percentage of chocolate chip cupcakes
= 100% - 40%
= 60%

Number of chocolate chip cupcakes that Peter gave to his brother
= 60% x 55
= ⁶⁰₁₀₀ x 55
= 33 

(b)
Fraction of all the cupcakes he gave away to his brother and his cousin that were chocolate chip cupcakes
= 1 - ⁴₇
= ³₇

3 u = 33

1 u = 33 ÷ 3 = 11

Number of banana cupcakes that Peter gave to his brother and his cousin
= 4 u
= 4 x 11
= 44

Number of banana cupcakes that Peter gave to his brother
= 55 - 33
= 22

Number of banana cupcakes that Peter gave to his cousin
= 44 - 22
= 22

Answer(s): (a) 33; (b) 22