Jenson had some banana cookies and cherry cookies. He gave away 185 cookies to his sister. 40% of them were banana cookies and the rest were cherry cookies.

1. How many cherry cookies did he give his sister?
2. Jenson gave some banana cookies to his brother. ⁴₇ of all the cookies he gave away to his sister and his brother were banana cookies. How many banana cookies did he give his brother?

(a)
Percentage of cherry cookies
= 100% - 40%
= 60%

Number of cherry cookies that Jenson gave to his sister
= 60% x 185
= ⁶⁰₁₀₀ x 185
= 111 

(b)
Fraction of all the cookies he gave away to his sister and his brother that were cherry cookies
= 1 - ⁴₇
= ³₇

3 u = 111

1 u = 111 ÷ 3 = 37

Number of banana cookies that Jenson gave to his sister and his brother
= 4 u
= 4 x 37
= 148

Number of banana cookies that Jenson gave to his sister
= 185 - 111
= 74

Number of banana cookies that Jenson gave to his brother
= 148 - 74
= 74

Answer(s): (a) 111; (b) 74