A sum of money was shared among Aaron,Ben,and Charles in the ratio 2:5:7.If Charles's share was $1,180 more than Aaron's share,what was the original sum of money shared?

2 answers

k is the proportionality constant

7 k - 2 k = 1180 ... 5 k = 1180 ... k = 236

(2 + 5 + 7) * 236 = ?
Let X be the total amount.
X=C+B+A
C-1180=A
A=2*X/14
B=5*X/14
C=7*X/14 all from problem statement.
C-1180=A or
7x/14-1180=2x/14
(7x-2x)/14=1180
5x=14*1180 or x=3304