Caden had some banana scones and blueberry scones. He gave away 176 scones to his sister. 25% of them were banana scones and the rest were blueberry scones.

1. How many blueberry scones did he give his sister?
2. Caden gave some banana scones to his cousin. ³₅ of all the scones he gave away to his sister and his cousin were banana scones. How many banana scones did he give his cousin?

(a)
Percentage of blueberry scones
= 100% - 25%
= 75%

Number of blueberry scones that Caden gave to his sister
= 75% x 176
= ⁷⁵₁₀₀ x 176
= 132 

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

2 u = 132

1 u = 132 ÷ 2 = 66

Number of banana scones that Caden gave to his sister and his cousin
= 3 u
= 3 x 66
= 198

Number of banana scones that Caden gave to his sister
= 176 - 132
= 44

Number of banana scones that Caden gave to his cousin
= 198 - 44
= 154

Answer(s): (a) 132; (b) 154