Asher had some strawberry puffs and cranberry puffs. He gave away 55 puffs to his cousin. 20% of them were strawberry puffs and the rest were cranberry puffs.

1. How many cranberry puffs did he give his cousin?
2. Asher gave some strawberry puffs to his sister. ⁵₇ of all the puffs he gave away to his cousin and his sister were strawberry puffs. How many strawberry puffs did he give his sister?

(a)
Percentage of cranberry puffs
= 100% - 20%
= 80%

Number of cranberry puffs that Asher gave to his cousin
= 80% x 55
= ⁸⁰₁₀₀ x 55
= 44 

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

2 u = 44

1 u = 44 ÷ 2 = 22

Number of strawberry puffs that Asher gave to his cousin and his sister
= 5 u
= 5 x 22
= 110

Number of strawberry puffs that Asher gave to his cousin
= 55 - 44
= 11

Number of strawberry puffs that Asher gave to his sister
= 110 - 11
= 99

Answer(s): (a) 44; (b) 99