Rael had some blueberry cupcakes and cherry cupcakes. He gave away 100 cupcakes to his cousin. 10% of them were blueberry cupcakes and the rest were cherry cupcakes.

1. How many cherry cupcakes did he give his cousin?
2. Rael gave some blueberry cupcakes to his sister. ³₅ of all the cupcakes he gave away to his cousin and his sister were blueberry cupcakes. How many blueberry cupcakes did he give his sister?

(a)
Percentage of cherry cupcakes
= 100% - 10%
= 90%

Number of cherry cupcakes that Rael gave to his cousin
= 90% x 100
= ⁹⁰₁₀₀ x 100
= 90 

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

2 u = 90

1 u = 90 ÷ 2 = 45

Number of blueberry cupcakes that Rael gave to his cousin and his sister
= 3 u
= 3 x 45
= 135

Number of blueberry cupcakes that Rael gave to his cousin
= 100 - 90
= 10

Number of blueberry cupcakes that Rael gave to his sister
= 135 - 10
= 125

Answer(s): (a) 90; (b) 125