3 boys, Aaron, Benny and Charles, share a sum of money. Aaron receives 40% of the sum of money. Benny receives 3 times as much as Charles and $29 more than Aaron.

Question

a.) What percentage of the sum of money does Charles get?
b.) What is the total sum of money given to the 3 boys?

Answer 1

Sum = $X.
Aaron = 0.4x.
Benny = (0.4x+29).
Charles = (0.4x+29)/3.

a. 0.4x + (0.4x+29) + (0.4x+29)/3 = $X.
Multiply both sides by 3:
1.2x + 1.2x + 87 + 0.4x + 29 = 3x
2.8x - 3x = -116
-0.2x = -116
X = $580.
Charles = (0.4*580+29)/3 = $87.
Charles % = (87/580)*100% = 15.

b. Total = X = $580.