Howard had some cheese scones and vanilla scones. He gave away 175 scones to his cousin. 20% of them were cheese scones and the rest were vanilla scones.

1. How many vanilla scones did he give his cousin?
2. Howard gave some cheese scones to his sister. ⁵₇ of all the scones he gave away to his cousin and his sister were cheese scones. How many cheese scones did he give his sister?

(a)
Percentage of vanilla scones
= 100% - 20%
= 80%

Number of vanilla scones that Howard gave to his cousin
= 80% x 175
= ⁸⁰₁₀₀ x 175
= 140 

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

2 u = 140

1 u = 140 ÷ 2 = 70

Number of cheese scones that Howard gave to his cousin and his sister
= 5 u
= 5 x 70
= 350

Number of cheese scones that Howard gave to his cousin
= 175 - 140
= 35

Number of cheese scones that Howard gave to his sister
= 350 - 35
= 315

Answer(s): (a) 140; (b) 315