Daniel had some apricot muffins and strawberry muffins. He gave away 92 muffins to his sister. 25% of them were apricot muffins and the rest were strawberry muffins.

1. How many strawberry muffins did he give his sister?
2. Daniel gave some apricot muffins to his cousin. ²₅ of all the muffins he gave away to his sister and his cousin were apricot muffins. How many apricot muffins did he give his cousin?

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

Number of strawberry muffins that Daniel gave to his sister
= 75% x 92
= ⁷⁵₁₀₀ x 92
= 69 

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

3 u = 69

1 u = 69 ÷ 3 = 23

Number of apricot muffins that Daniel gave to his sister and his cousin
= 2 u
= 2 x 23
= 46

Number of apricot muffins that Daniel gave to his sister
= 92 - 69
= 23

Number of apricot muffins that Daniel gave to his cousin
= 46 - 23
= 23

Answer(s): (a) 69; (b) 23