Reggie had some apricot muffins and banana muffins. He gave away 120 muffins to his brother. 20% of them were apricot muffins and the rest were banana muffins.

1. How many banana muffins did he give his brother?
2. Reggie gave some apricot muffins to his cousin. ³₅ of all the muffins he gave away to his brother and his cousin were apricot muffins. How many apricot muffins did he give his cousin?

(a)
Percentage of banana muffins
= 100% - 20%
= 80%

Number of banana muffins that Reggie gave to his brother
= 80% x 120
= ⁸⁰₁₀₀ x 120
= 96 

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

2 u = 96

1 u = 96 ÷ 2 = 48

Number of apricot muffins that Reggie gave to his brother and his cousin
= 3 u
= 3 x 48
= 144

Number of apricot muffins that Reggie gave to his brother
= 120 - 96
= 24

Number of apricot muffins that Reggie gave to his cousin
= 144 - 24
= 120

Answer(s): (a) 96; (b) 120