Tommy had some cranberry biscuits and apple biscuits. He gave away 135 biscuits to his cousin. 20% of them were cranberry biscuits and the rest were apple biscuits.

1. How many apple biscuits did he give his cousin?
2. Tommy gave some cranberry biscuits to his sister. ³₅ of all the biscuits he gave away to his cousin and his sister were cranberry biscuits. How many cranberry biscuits did he give his sister?

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

Number of apple biscuits that Tommy gave to his cousin
= 80% x 135
= ⁸⁰₁₀₀ x 135
= 108 

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

2 u = 108

1 u = 108 ÷ 2 = 54

Number of cranberry biscuits that Tommy gave to his cousin and his sister
= 3 u
= 3 x 54
= 162

Number of cranberry biscuits that Tommy gave to his cousin
= 135 - 108
= 27

Number of cranberry biscuits that Tommy gave to his sister
= 162 - 27
= 135

Answer(s): (a) 108; (b) 135