Andy had some vanilla biscuits and apple biscuits. He gave away 55 biscuits to his cousin. 40% of them were vanilla biscuits and the rest were apple biscuits.

1. How many apple biscuits did he give his cousin?
2. Andy gave some vanilla biscuits to his brother. ⁴₇ of all the biscuits he gave away to his cousin and his brother were vanilla biscuits. How many vanilla biscuits did he give his brother?

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

Number of apple biscuits that Andy gave to his cousin
= 60% x 55
= ⁶⁰₁₀₀ x 55
= 33 

(b)
Fraction of all the biscuits he gave away to his cousin and his brother that were apple biscuits
= 1 - ⁴₇
= ³₇

3 u = 33

1 u = 33 ÷ 3 = 11

Number of vanilla biscuits that Andy gave to his cousin and his brother
= 4 u
= 4 x 11
= 44

Number of vanilla biscuits that Andy gave to his cousin
= 55 - 33
= 22

Number of vanilla biscuits that Andy gave to his brother
= 44 - 22
= 22

Answer(s): (a) 33; (b) 22