Caden had some banana biscuits and apple biscuits. He gave away 120 biscuits to his cousin. 20% of them were banana biscuits and the rest were apple biscuits.

1. How many apple biscuits did he give his cousin?
2. Caden gave some banana biscuits to his sister. ⁵₇ of all the biscuits he gave away to his cousin and his sister were banana biscuits. How many banana biscuits did he give his sister?

(a)
Percentage of apple biscuits
= 100% - 20%
= 80%

Number of apple biscuits that Caden gave to his cousin
= 80% x 120
= ⁸⁰₁₀₀ x 120
= 96 

(b)
Fraction of all the biscuits he gave away to his cousin and his sister that were apple biscuits
= 1 - ⁵₇
= ²₇

2 u = 96

1 u = 96 ÷ 2 = 48

Number of banana biscuits that Caden gave to his cousin and his sister
= 5 u
= 5 x 48
= 240

Number of banana biscuits that Caden gave to his cousin
= 120 - 96
= 24

Number of banana biscuits that Caden gave to his sister
= 240 - 24
= 216

Answer(s): (a) 96; (b) 216