Owen had some cherry macarons and cheese macarons. He gave away 120 macarons to his sister. 25% of them were cherry macarons and the rest were cheese macarons.

1. How many cheese macarons did he give his sister?
2. Owen gave some cherry macarons to his brother. ²₅ of all the macarons he gave away to his sister and his brother were cherry macarons. How many cherry macarons did he give his brother?

(a)
Percentage of cheese macarons
= 100% - 25%
= 75%

Number of cheese macarons that Owen gave to his sister
= 75% x 120
= ⁷⁵₁₀₀ x 120
= 90 

(b)
Fraction of all the macarons he gave away to his sister and his brother that were cheese macarons
= 1 - ²₅
= ³₅

3 u = 90

1 u = 90 ÷ 3 = 30

Number of cherry macarons that Owen gave to his sister and his brother
= 2 u
= 2 x 30
= 60

Number of cherry macarons that Owen gave to his sister
= 120 - 90
= 30

Number of cherry macarons that Owen gave to his brother
= 60 - 30
= 30

Answer(s): (a) 90; (b) 30