Sean had some cheese doughnuts and apple doughnuts. He gave away 152 doughnuts to his cousin. 25% of them were cheese doughnuts and the rest were apple doughnuts.

1. How many apple doughnuts did he give his cousin?
2. Sean gave some cheese doughnuts to his brother. ⁵₇ of all the doughnuts he gave away to his cousin and his brother were cheese doughnuts. How many cheese doughnuts did he give his brother?

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

Number of apple doughnuts that Sean gave to his cousin
= 75% x 152
= ⁷⁵₁₀₀ x 152
= 114 

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

2 u = 114

1 u = 114 ÷ 2 = 57

Number of cheese doughnuts that Sean gave to his cousin and his brother
= 5 u
= 5 x 57
= 285

Number of cheese doughnuts that Sean gave to his cousin
= 152 - 114
= 38

Number of cheese doughnuts that Sean gave to his brother
= 285 - 38
= 247

Answer(s): (a) 114; (b) 247