Sean had some cherry muffins and apricot muffins. He gave away 170 muffins to his brother. 40% of them were cherry muffins and the rest were apricot muffins.

1. How many apricot muffins did he give his brother?
2. Sean gave some cherry muffins to his cousin. ⁴₇ of all the muffins he gave away to his brother and his cousin were cherry muffins. How many cherry muffins did he give his cousin?

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

Number of apricot muffins that Sean gave to his brother
= 60% x 170
= ⁶⁰₁₀₀ x 170
= 102 

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

3 u = 102

1 u = 102 ÷ 3 = 34

Number of cherry muffins that Sean gave to his brother and his cousin
= 4 u
= 4 x 34
= 136

Number of cherry muffins that Sean gave to his brother
= 170 - 102
= 68

Number of cherry muffins that Sean gave to his cousin
= 136 - 68
= 68

Answer(s): (a) 102; (b) 68