Riordan had some apple doughnuts and cherry doughnuts. He gave away 75 doughnuts to his cousin. 40% of them were apple doughnuts and the rest were cherry doughnuts.

1. How many cherry doughnuts did he give his cousin?
2. Riordan gave some apple doughnuts to his brother. ²₇ of all the doughnuts he gave away to his cousin and his brother were apple doughnuts. How many apple doughnuts did he give his brother?

(a)
Percentage of cherry doughnuts
= 100% - 40%
= 60%

Number of cherry doughnuts that Riordan gave to his cousin
= 60% x 75
= ⁶⁰₁₀₀ x 75
= 45 

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

5 u = 45

1 u = 45 ÷ 5 = 9

Number of apple doughnuts that Riordan gave to his cousin and his brother
= 2 u
= 2 x 9
= 18

Number of apple doughnuts that Riordan gave to his cousin
= 75 - 45
= 30

Number of apple doughnuts that Riordan gave to his brother
= 18 - 30
= -12

Answer(s): (a) 45; (b) -12