Mark had some cranberry muffins and strawberry muffins. He gave away 96 muffins to his sister. 25% of them were cranberry muffins and the rest were strawberry muffins.

1. How many strawberry muffins did he give his sister?
2. Mark gave some cranberry muffins to his brother. ⁵₇ of all the muffins he gave away to his sister and his brother were cranberry muffins. How many cranberry muffins did he give his brother?

(a)
Percentage of strawberry muffins
= 100% - 25%
= 75%

Number of strawberry muffins that Mark gave to his sister
= 75% x 96
= ⁷⁵₁₀₀ x 96
= 72 

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

2 u = 72

1 u = 72 ÷ 2 = 36

Number of cranberry muffins that Mark gave to his sister and his brother
= 5 u
= 5 x 36
= 180

Number of cranberry muffins that Mark gave to his sister
= 96 - 72
= 24

Number of cranberry muffins that Mark gave to his brother
= 180 - 24
= 156

Answer(s): (a) 72; (b) 156