Luke had some cherry cupcakes and cranberry cupcakes. He gave away 85 cupcakes to his brother. 40% of them were cherry cupcakes and the rest were cranberry cupcakes.

1. How many cranberry cupcakes did he give his brother?
2. Luke gave some cherry cupcakes to his sister. ⁴₇ of all the cupcakes he gave away to his brother and his sister were cherry cupcakes. How many cherry cupcakes did he give his sister?

(a)
Percentage of cranberry cupcakes
= 100% - 40%
= 60%

Number of cranberry cupcakes that Luke gave to his brother
= 60% x 85
= ⁶⁰₁₀₀ x 85
= 51 

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

3 u = 51

1 u = 51 ÷ 3 = 17

Number of cherry cupcakes that Luke gave to his brother and his sister
= 4 u
= 4 x 17
= 68

Number of cherry cupcakes that Luke gave to his brother
= 85 - 51
= 34

Number of cherry cupcakes that Luke gave to his sister
= 68 - 34
= 34

Answer(s): (a) 51; (b) 34