George had some banana doughnuts and cherry doughnuts. He gave away 108 doughnuts to his brother. 25% of them were banana doughnuts and the rest were cherry doughnuts.

1. How many cherry doughnuts did he give his brother?
2. George gave some banana doughnuts to his cousin. ²₅ of all the doughnuts he gave away to his brother and his cousin were banana doughnuts. How many banana doughnuts did he give his cousin?

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

Number of cherry doughnuts that George gave to his brother
= 75% x 108
= ⁷⁵₁₀₀ x 108
= 81 

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

3 u = 81

1 u = 81 ÷ 3 = 27

Number of banana doughnuts that George gave to his brother and his cousin
= 2 u
= 2 x 27
= 54

Number of banana doughnuts that George gave to his brother
= 108 - 81
= 27

Number of banana doughnuts that George gave to his cousin
= 54 - 27
= 27

Answer(s): (a) 81; (b) 27