Jeremy had some apricot cupcakes and cheese cupcakes. He gave away 70 cupcakes to his brother. 40% of them were apricot cupcakes and the rest were cheese cupcakes.

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

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

Number of cheese cupcakes that Jeremy gave to his brother
= 60% x 70
= ⁶⁰₁₀₀ x 70
= 42 

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

3 u = 42

1 u = 42 ÷ 3 = 14

Number of apricot cupcakes that Jeremy gave to his brother and his sister
= 4 u
= 4 x 14
= 56

Number of apricot cupcakes that Jeremy gave to his brother
= 70 - 42
= 28

Number of apricot cupcakes that Jeremy gave to his sister
= 56 - 28
= 28

Answer(s): (a) 42; (b) 28