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?
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
To solve this problem, we need to set up equations based on the given information.
Let's assume that Aaron's share is represented by 2x, where x is a constant.
Ben's share would be 5x, and Charles's share would be 7x.
According to the given information, Charles's share was $1,180 more than Aaron's share. Therefore, we can create the equation:
7x - 2x = $1,180
Simplifying the equation, we have:
5x = $1,180
To find the value of x, we divide both sides of the equation by 5:
x = $1,180 / 5 = $236
Now, to determine the original sum of money shared, we need to find the sum of Aaron's, Ben's, and Charles's shares.
Aaron's share = 2x = 2 * $236 = $472
Ben's share = 5x = 5 * $236 = $1,180
Charles's share = 7x = 7 * $236 = $1,652
The original sum of money shared is the sum of these three shares:
$472 + $1,180 + $1,652 = $3,304
Therefore, the original sum of money shared was $3,304.