Ryan had some cranberry macarons and cherry macarons. He gave away 108 macarons to his sister. 25% of them were cranberry macarons and the rest were cherry macarons.

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

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

Number of cherry macarons that Ryan gave to his sister
= 75% x 108
= ⁷⁵₁₀₀ x 108
= 81 

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

3 u = 81

1 u = 81 ÷ 3 = 27

Number of cranberry macarons that Ryan gave to his sister and his cousin
= 2 u
= 2 x 27
= 54

Number of cranberry macarons that Ryan gave to his sister
= 108 - 81
= 27

Number of cranberry macarons that Ryan gave to his cousin
= 54 - 27
= 27

Answer(s): (a) 81; (b) 27