Dylan had some cranberry muffins and chocolate chip muffins. He gave away 50 muffins to his sister. 20% of them were cranberry muffins and the rest were chocolate chip muffins.

1. How many chocolate chip muffins did he give his sister?
2. Dylan gave some cranberry muffins to his cousin. ⁵₇ of all the muffins he gave away to his sister and his cousin were cranberry muffins. How many cranberry muffins did he give his cousin?

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

Number of chocolate chip muffins that Dylan gave to his sister
= 80% x 50
= ⁸⁰₁₀₀ x 50
= 40 

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

2 u = 40

1 u = 40 ÷ 2 = 20

Number of cranberry muffins that Dylan gave to his sister and his cousin
= 5 u
= 5 x 20
= 100

Number of cranberry muffins that Dylan gave to his sister
= 50 - 40
= 10

Number of cranberry muffins that Dylan gave to his cousin
= 100 - 10
= 90

Answer(s): (a) 40; (b) 90