Brandon had some banana cookies and cheese cookies. He gave away 130 cookies to his brother. 20% of them were banana cookies and the rest were cheese cookies.

1. How many cheese cookies did he give his brother?
2. Brandon gave some banana cookies to his sister. ³₅ of all the cookies he gave away to his brother and his sister were banana cookies. How many banana cookies did he give his sister?

(a)
Percentage of cheese cookies
= 100% - 20%
= 80%

Number of cheese cookies that Brandon gave to his brother
= 80% x 130
= ⁸⁰₁₀₀ x 130
= 104 

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

2 u = 104

1 u = 104 ÷ 2 = 52

Number of banana cookies that Brandon gave to his brother and his sister
= 3 u
= 3 x 52
= 156

Number of banana cookies that Brandon gave to his brother
= 130 - 104
= 26

Number of banana cookies that Brandon gave to his sister
= 156 - 26
= 130

Answer(s): (a) 104; (b) 130