Riordan had some vanilla muffins and banana muffins. He gave away 148 muffins to his sister. 25% of them were vanilla muffins and the rest were banana muffins.

1. How many banana muffins did he give his sister?
2. Riordan gave some vanilla muffins to his brother. ²₅ of all the muffins he gave away to his sister and his brother were vanilla muffins. How many vanilla muffins did he give his brother?

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

Number of banana muffins that Riordan gave to his sister
= 75% x 148
= ⁷⁵₁₀₀ x 148
= 111 

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

3 u = 111

1 u = 111 ÷ 3 = 37

Number of vanilla muffins that Riordan gave to his sister and his brother
= 2 u
= 2 x 37
= 74

Number of vanilla muffins that Riordan gave to his sister
= 148 - 111
= 37

Number of vanilla muffins that Riordan gave to his brother
= 74 - 37
= 37

Answer(s): (a) 111; (b) 37