Question 1165964
Dick, Ed and Fran formed a partnership. The partnership agreement requires
them to provide capital when and as required by the partnership in the ratio
of 7:9:8, respectively.

A. If the total required initial investment was $96,000, how much did each
contribute?
<pre>
When an amount is divided three ways in the ratio a:b:c, then the three
fractions of the amount are 

{{{matrix(1,5,a/(a+b+c),",",b/(a+b+c),",",c/(a+b+c))}}} 

So Dick contributed 

{{{expr(7/(7+9+8))*"$96,000"=expr(7/24)*96000="$28,000"}}}

Ed contributed 

{{{expr(9/(7+9+8))*"$96,000"=expr(9/24)*96000="$36,000"}}}

and Fran contributed 

{{{expr(8/(7+9+8))*"$96,000"=expr(8/24)*96000="$32,000"}}}
</pre>
B. One year later, Dick's share of another injection of capital was $10,500.
What is the total investment made by the partnership including the initial
investment? What is Ed's share of the entire investment?<pre>
Suppose the total investment was $N. Then

Dick contributed 

{{{expr(7/(7+9+8))*"$N"=expr(7/24)*"$N"="$10,500"}}}

{{{expr(7/24)*"$N"="$10,500"}}}

Multiply both sides by 24/7

{{{"$N"=expr(24/7)*"$10,500"="$36,000"}}}

Ed's share was 

{{{expr(9/(7+9+8))*"$36,000"=expr(9/24)*"$36,000"="$13,500"}}}

Edwin</pre>