Reggie had some chocolate chip macarons and cranberry macarons. He gave away 120 macarons to his cousin. 20% of them were chocolate chip macarons and the rest were cranberry macarons.

1. How many cranberry macarons did he give his cousin?
2. Reggie gave some chocolate chip macarons to his sister. ²₅ of all the macarons he gave away to his cousin and his sister were chocolate chip macarons. How many chocolate chip macarons did he give his sister?

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

Number of cranberry macarons that Reggie gave to his cousin
= 80% x 120
= ⁸⁰₁₀₀ x 120
= 96 

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

3 u = 96

1 u = 96 ÷ 3 = 32

Number of chocolate chip macarons that Reggie gave to his cousin and his sister
= 2 u
= 2 x 32
= 64

Number of chocolate chip macarons that Reggie gave to his cousin
= 120 - 96
= 24

Number of chocolate chip macarons that Reggie gave to his sister
= 64 - 24
= 40

Answer(s): (a) 96; (b) 40