Ahmad had some cranberry doughnuts and strawberry doughnuts. He gave away 160 doughnuts to his sister. 30% of them were cranberry doughnuts and the rest were strawberry doughnuts.

1. How many strawberry doughnuts did he give his sister?
2. Ahmad gave some cranberry doughnuts to his brother. ³₅ of all the doughnuts he gave away to his sister and his brother were cranberry doughnuts. How many cranberry doughnuts did he give his brother?

(a)
Percentage of strawberry doughnuts
= 100% - 30%
= 70%

Number of strawberry doughnuts that Ahmad gave to his sister
= 70% x 160
= ⁷⁰₁₀₀ x 160
= 112 

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

2 u = 112

1 u = 112 ÷ 2 = 56

Number of cranberry doughnuts that Ahmad gave to his sister and his brother
= 3 u
= 3 x 56
= 168

Number of cranberry doughnuts that Ahmad gave to his sister
= 160 - 112
= 48

Number of cranberry doughnuts that Ahmad gave to his brother
= 168 - 48
= 120

Answer(s): (a) 112; (b) 120