Japheth had some cherry scones and vanilla scones. He gave away 176 scones to his brother. 25% of them were cherry scones and the rest were vanilla scones.

1. How many vanilla scones did he give his brother?
2. Japheth gave some cherry scones to his sister. ⁵₇ of all the scones he gave away to his brother and his sister were cherry scones. How many cherry scones did he give his sister?

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

Number of vanilla scones that Japheth gave to his brother
= 75% x 176
= ⁷⁵₁₀₀ x 176
= 132 

(b)
Fraction of all the scones he gave away to his brother and his sister that were vanilla scones
= 1 - ⁵₇
= ²₇

2 u = 132

1 u = 132 ÷ 2 = 66

Number of cherry scones that Japheth gave to his brother and his sister
= 5 u
= 5 x 66
= 330

Number of cherry scones that Japheth gave to his brother
= 176 - 132
= 44

Number of cherry scones that Japheth gave to his sister
= 330 - 44
= 286

Answer(s): (a) 132; (b) 286