Tom had some cherry macarons and vanilla macarons. He gave away 120 macarons to his cousin. 10% of them were cherry macarons and the rest were vanilla macarons.

1. How many vanilla macarons did he give his cousin?
2. Tom gave some cherry macarons to his sister. ³₅ of all the macarons he gave away to his cousin and his sister were cherry macarons. How many cherry macarons did he give his sister?

(a)
Percentage of vanilla macarons
= 100% - 10%
= 90%

Number of vanilla macarons that Tom gave to his cousin
= 90% x 120
= ⁹⁰₁₀₀ x 120
= 108 

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

2 u = 108

1 u = 108 ÷ 2 = 54

Number of cherry macarons that Tom gave to his cousin and his sister
= 3 u
= 3 x 54
= 162

Number of cherry macarons that Tom gave to his cousin
= 120 - 108
= 12

Number of cherry macarons that Tom gave to his sister
= 162 - 12
= 150

Answer(s): (a) 108; (b) 150