Sean had some chocolate chip macarons and cranberry macarons. He gave away 184 macarons to his brother. 25% of them were chocolate chip macarons and the rest were cranberry macarons.

1. How many cranberry macarons did he give his brother?
2. Sean gave some chocolate chip macarons to his cousin. ⁵₇ of all the macarons he gave away to his brother and his cousin were chocolate chip macarons. How many chocolate chip macarons did he give his cousin?

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

Number of cranberry macarons that Sean gave to his brother
= 75% x 184
= ⁷⁵₁₀₀ x 184
= 138 

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

2 u = 138

1 u = 138 ÷ 2 = 69

Number of chocolate chip macarons that Sean gave to his brother and his cousin
= 5 u
= 5 x 69
= 345

Number of chocolate chip macarons that Sean gave to his brother
= 184 - 138
= 46

Number of chocolate chip macarons that Sean gave to his cousin
= 345 - 46
= 299

Answer(s): (a) 138; (b) 299