Oliver had some cherry doughnuts and cranberry doughnuts. He gave away 195 doughnuts to his brother. 20% of them were cherry doughnuts and the rest were cranberry doughnuts.

1. How many cranberry doughnuts did he give his brother?
2. Oliver gave some cherry doughnuts to his sister. ³₇ of all the doughnuts he gave away to his brother and his sister were cherry doughnuts. How many cherry doughnuts did he give his sister?

(a)
Percentage of cranberry doughnuts
= 100% - 20%
= 80%

Number of cranberry doughnuts that Oliver gave to his brother
= 80% x 195
= ⁸⁰₁₀₀ x 195
= 156 

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

4 u = 156

1 u = 156 ÷ 4 = 39

Number of cherry doughnuts that Oliver gave to his brother and his sister
= 3 u
= 3 x 39
= 117

Number of cherry doughnuts that Oliver gave to his brother
= 195 - 156
= 39

Number of cherry doughnuts that Oliver gave to his sister
= 117 - 39
= 78

Answer(s): (a) 156; (b) 78