A sum of money was shared amount Aaron, Ben, and Charles in the ratio 2:5:7 If Charles's share was $1,180 more that Aaron's share, what was the oringinal sum of money shared?
To find the original sum of money shared, let's assume the common multiplier for the ratio is "x".
Let's calculate the shares first:
Aaron's share = 2x
Ben's share = 5x
Charles's share = 7x
We know that Charles's share was $1,180 more than Aaron's share, so we can write an equation:
Charles's share - Aaron's share = $1,180
Substituting the values:
(7x) - (2x) = $1,180
Simplifying the equation:
5x = $1,180
To solve for x, we'll divide both sides of the equation by 5:
x = $1,180 / 5
x = $236
Now that we know the value of x, we can find the original sum of money shared:
Original sum = Aaron's share + Ben's share + Charles's share
Original sum = 2x + 5x + 7x
Original sum = 14x
Substituting the value of x:
Original sum = 14 * $236
Original sum = $3,304
Therefore, the original sum of money shared was $3,304.
the shares are 2x,5x,7x, and
7x = 2x + 1180