Jenson had some apricot cookies and vanilla cookies. He gave away 160 cookies to his cousin. 30% of them were apricot cookies and the rest were vanilla cookies.

1. How many vanilla cookies did he give his cousin?
2. Jenson gave some apricot cookies to his sister. ³₅ of all the cookies he gave away to his cousin and his sister were apricot cookies. How many apricot cookies did he give his sister?

(a)
Percentage of vanilla cookies
= 100% - 30%
= 70%

Number of vanilla cookies that Jenson gave to his cousin
= 70% x 160
= ⁷⁰₁₀₀ x 160
= 112 

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

2 u = 112

1 u = 112 ÷ 2 = 56

Number of apricot cookies that Jenson gave to his cousin and his sister
= 3 u
= 3 x 56
= 168

Number of apricot cookies that Jenson gave to his cousin
= 160 - 112
= 48

Number of apricot cookies that Jenson gave to his sister
= 168 - 48
= 120

Answer(s): (a) 112; (b) 120