Howard had some cranberry puffs and blueberry puffs. He gave away 128 puffs to his brother. 25% of them were cranberry puffs and the rest were blueberry puffs.

1. How many blueberry puffs did he give his brother?
2. Howard gave some cranberry puffs to his sister. ³₅ of all the puffs he gave away to his brother and his sister were cranberry puffs. How many cranberry puffs did he give his sister?

(a)
Percentage of blueberry puffs
= 100% - 25%
= 75%

Number of blueberry puffs that Howard gave to his brother
= 75% x 128
= ⁷⁵₁₀₀ x 128
= 96 

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

2 u = 96

1 u = 96 ÷ 2 = 48

Number of cranberry puffs that Howard gave to his brother and his sister
= 3 u
= 3 x 48
= 144

Number of cranberry puffs that Howard gave to his brother
= 128 - 96
= 32

Number of cranberry puffs that Howard gave to his sister
= 144 - 32
= 112

Answer(s): (a) 96; (b) 112