ratio problem sum

Question

a sum of money is divided between peter,sam and kenneth in the ratio 5:2:7.

 

(a) if peter receives $24 more than sam, calculate how much kenneth receives

Answer 1

adding up all parts in the ratio, 5+2+7 =14.

 

Peter gets 5/14 of the sum, Sam gets 2/14 of the sum, and I get 7/14 (half! because I am Kenneth).

Therefore (5/14)x = (2/14)x + 24.

 

You can solve for x, now, and thus Kenneth gets half of x.