Jack had some apricot cupcakes and chocolate chip cupcakes. He gave away 110 cupcakes to his sister. 40% of them were apricot cupcakes and the rest were chocolate chip cupcakes.

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

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

Number of chocolate chip cupcakes that Jack gave to his sister
= 60% x 110
= ⁶⁰₁₀₀ x 110
= 66 

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

3 u = 66

1 u = 66 ÷ 3 = 22

Number of apricot cupcakes that Jack gave to his sister and his brother
= 4 u
= 4 x 22
= 88

Number of apricot cupcakes that Jack gave to his sister
= 110 - 66
= 44

Number of apricot cupcakes that Jack gave to his brother
= 88 - 44
= 44

Answer(s): (a) 66; (b) 44