Pierre had some cranberry doughnuts and vanilla doughnuts. He gave away 75 doughnuts to his cousin. 20% of them were cranberry doughnuts and the rest were vanilla doughnuts.

1. How many vanilla doughnuts did he give his cousin?
2. Pierre gave some cranberry doughnuts to his sister. ²₅ of all the doughnuts he gave away to his cousin and his sister were cranberry doughnuts. How many cranberry doughnuts did he give his sister?

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

Number of vanilla doughnuts that Pierre gave to his cousin
= 80% x 75
= ⁸⁰₁₀₀ x 75
= 60 

(b)
Fraction of all the doughnuts he gave away to his cousin and his sister that were vanilla doughnuts
= 1 - ²₅
= ³₅

3 u = 60

1 u = 60 ÷ 3 = 20

Number of cranberry doughnuts that Pierre gave to his cousin and his sister
= 2 u
= 2 x 20
= 40

Number of cranberry doughnuts that Pierre gave to his cousin
= 75 - 60
= 15

Number of cranberry doughnuts that Pierre gave to his sister
= 40 - 15
= 25

Answer(s): (a) 60; (b) 25