Fred had some blueberry cookies and cherry cookies. He gave away 196 cookies to his cousin. 25% of them were blueberry cookies and the rest were cherry cookies.

1. How many cherry cookies did he give his cousin?
2. Fred gave some blueberry cookies to his sister. ²₅ of all the cookies he gave away to his cousin and his sister were blueberry cookies. How many blueberry cookies did he give his sister?

(a)
Percentage of cherry cookies
= 100% - 25%
= 75%

Number of cherry cookies that Fred gave to his cousin
= 75% x 196
= ⁷⁵₁₀₀ x 196
= 147 

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

3 u = 147

1 u = 147 ÷ 3 = 49

Number of blueberry cookies that Fred gave to his cousin and his sister
= 2 u
= 2 x 49
= 98

Number of blueberry cookies that Fred gave to his cousin
= 196 - 147
= 49

Number of blueberry cookies that Fred gave to his sister
= 98 - 49
= 49

Answer(s): (a) 147; (b) 49