Julian had some vanilla muffins and apple muffins. He gave away 64 muffins to his brother. 25% of them were vanilla muffins and the rest were apple muffins.

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

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

Number of apple muffins that Julian gave to his brother
= 75% x 64
= ⁷⁵₁₀₀ x 64
= 48 

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

3 u = 48

1 u = 48 ÷ 3 = 16

Number of vanilla muffins that Julian gave to his brother and his sister
= 2 u
= 2 x 16
= 32

Number of vanilla muffins that Julian gave to his brother
= 64 - 48
= 16

Number of vanilla muffins that Julian gave to his sister
= 32 - 16
= 16

Answer(s): (a) 48; (b) 16