Archie had some apricot doughnuts and apple doughnuts. He gave away 128 doughnuts to his brother. 25% of them were apricot doughnuts and the rest were apple doughnuts.

1. How many apple doughnuts did he give his brother?
2. Archie gave some apricot doughnuts to his sister. ⁴₇ of all the doughnuts he gave away to his brother and his sister were apricot doughnuts. How many apricot doughnuts did he give his sister?

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

Number of apple doughnuts that Archie gave to his brother
= 75% x 128
= ⁷⁵₁₀₀ x 128
= 96 

(b)
Fraction of all the doughnuts he gave away to his brother and his sister that were apple doughnuts
= 1 - ⁴₇
= ³₇

3 u = 96

1 u = 96 ÷ 3 = 32

Number of apricot doughnuts that Archie gave to his brother and his sister
= 4 u
= 4 x 32
= 128

Number of apricot doughnuts that Archie gave to his brother
= 128 - 96
= 32

Number of apricot doughnuts that Archie gave to his sister
= 128 - 32
= 96

Answer(s): (a) 96; (b) 96