Gabriel had some cherry biscuits and apricot biscuits. He gave away 60 biscuits to his cousin. 40% of them were cherry biscuits and the rest were apricot biscuits.

1. How many apricot biscuits did he give his cousin?
2. Gabriel gave some cherry biscuits to his brother. ³₅ of all the biscuits he gave away to his cousin and his brother were cherry biscuits. How many cherry biscuits did he give his brother?

(a)
Percentage of apricot biscuits
= 100% - 40%
= 60%

Number of apricot biscuits that Gabriel gave to his cousin
= 60% x 60
= ⁶⁰₁₀₀ x 60
= 36 

(b)
Fraction of all the biscuits he gave away to his cousin and his brother that were apricot biscuits
= 1 - ³₅
= ²₅

2 u = 36

1 u = 36 ÷ 2 = 18

Number of cherry biscuits that Gabriel gave to his cousin and his brother
= 3 u
= 3 x 18
= 54

Number of cherry biscuits that Gabriel gave to his cousin
= 60 - 36
= 24

Number of cherry biscuits that Gabriel gave to his brother
= 54 - 24
= 30

Answer(s): (a) 36; (b) 30