Ahmad had some banana macarons and cheese macarons. He gave away 105 macarons to his brother. 20% of them were banana macarons and the rest were cheese macarons.

1. How many cheese macarons did he give his brother?
2. Ahmad gave some banana macarons to his sister. ³₇ of all the macarons he gave away to his brother and his sister were banana macarons. How many banana macarons did he give his sister?

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

Number of cheese macarons that Ahmad gave to his brother
= 80% x 105
= ⁸⁰₁₀₀ x 105
= 84 

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

4 u = 84

1 u = 84 ÷ 4 = 21

Number of banana macarons that Ahmad gave to his brother and his sister
= 3 u
= 3 x 21
= 63

Number of banana macarons that Ahmad gave to his brother
= 105 - 84
= 21

Number of banana macarons that Ahmad gave to his sister
= 63 - 21
= 42

Answer(s): (a) 84; (b) 42