The original sum of money shared was 3304
Step-by-step explanation:
Let x be the unit ratio
then according to given ratio
Aaron's share = 2x
Ben's Share = 5x
and
Charles Share = 7x
According to the statement
Charles share was 1180 more than Aaron's share
7x = 2x+1180
[tex]Subtracing\ 2x\ from\ both\ sides\\7x-2x=2x-2x+1180\\5x=1180\\Dividing\ both\ sides\ by\ 5\\\frac{5x}{5} = \frac{1180}{5}\\x=236[/tex]
Sum of ratios:
2x+5x+7x = 14x
Putting the value of x
14(236) = $3304
The original sum of money shared was 3304
Keywords: Ratio, Division
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