Oliver had some cheese muffins and apricot muffins. He gave away 195 muffins to his cousin. 20% of them were cheese muffins and the rest were apricot muffins.

1. How many apricot muffins did he give his cousin?
2. Oliver gave some cheese muffins to his sister. ⁴₇ of all the muffins he gave away to his cousin and his sister were cheese muffins. How many cheese muffins did he give his sister?

(a)
Percentage of apricot muffins
= 100% - 20%
= 80%

Number of apricot muffins that Oliver gave to his cousin
= 80% x 195
= ⁸⁰₁₀₀ x 195
= 156 

(b)
Fraction of all the muffins he gave away to his cousin and his sister that were apricot muffins
= 1 - ⁴₇
= ³₇

3 u = 156

1 u = 156 ÷ 3 = 52

Number of cheese muffins that Oliver gave to his cousin and his sister
= 4 u
= 4 x 52
= 208

Number of cheese muffins that Oliver gave to his cousin
= 195 - 156
= 39

Number of cheese muffins that Oliver gave to his sister
= 208 - 39
= 169

Answer(s): (a) 156; (b) 169