Ryan had some banana doughnuts and strawberry doughnuts. He gave away 144 doughnuts to his cousin. 25% of them were banana doughnuts and the rest were strawberry doughnuts.

1. How many strawberry doughnuts did he give his cousin?
2. Ryan gave some banana doughnuts to his sister. ⁵₇ of all the doughnuts he gave away to his cousin and his sister were banana doughnuts. How many banana doughnuts did he give his sister?

(a)
Percentage of strawberry doughnuts
= 100% - 25%
= 75%

Number of strawberry doughnuts that Ryan gave to his cousin
= 75% x 144
= ⁷⁵₁₀₀ x 144
= 108 

(b)
Fraction of all the doughnuts he gave away to his cousin and his sister that were strawberry doughnuts
= 1 - ⁵₇
= ²₇

2 u = 108

1 u = 108 ÷ 2 = 54

Number of banana doughnuts that Ryan gave to his cousin and his sister
= 5 u
= 5 x 54
= 270

Number of banana doughnuts that Ryan gave to his cousin
= 144 - 108
= 36

Number of banana doughnuts that Ryan gave to his sister
= 270 - 36
= 234

Answer(s): (a) 108; (b) 234