Michael had some apple macarons and banana macarons. He gave away 115 macarons to his sister. 20% of them were apple macarons and the rest were banana macarons.

1. How many banana macarons did he give his sister?
2. Michael gave some apple macarons to his brother. ⁵₇ of all the macarons he gave away to his sister and his brother were apple macarons. How many apple macarons did he give his brother?

(a)
Percentage of banana macarons
= 100% - 20%
= 80%

Number of banana macarons that Michael gave to his sister
= 80% x 115
= ⁸⁰₁₀₀ x 115
= 92 

(b)
Fraction of all the macarons he gave away to his sister and his brother that were banana macarons
= 1 - ⁵₇
= ²₇

2 u = 92

1 u = 92 ÷ 2 = 46

Number of apple macarons that Michael gave to his sister and his brother
= 5 u
= 5 x 46
= 230

Number of apple macarons that Michael gave to his sister
= 115 - 92
= 23

Number of apple macarons that Michael gave to his brother
= 230 - 23
= 207

Answer(s): (a) 92; (b) 207