SOLUTION: Please help with this word problem. Three communities raised $5900 for a common cause. If community B raised 5/8 of the money community A raised and community C contributed 5/6

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Question 74281: Please help with this word problem.
Three communities raised $5900 for a common cause. If community B raised 5/8 of the money community A raised and community C contributed 5/6 of the contribution of community A, how much money did each of the three communities raise?
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Three communities raised $5900 for a common cause. If community B raised 5/8 of the money community A raised and community C contributed 5/6 of the contribution of community A, how much money did each of the three communities raise?
:
Let the money that A raised be: x
Then the money that B raised is: 5/8x
Then the money that C raised is: 5/6x
The total amount raised is: 5900
x%2B%285%2F8%29x%2B%285%2F6%29x=5900
%2824%2F24%29x%2B%283%2A5%2F%283%2A8%29%29x%2B%284%2A5%2F%284%2A6%29%29x=5900
24x%2F24%2B15x%2F24%2B20x%2F24=5900
%2824x%2B15x%2B20x%29%2F24=5900
59x%2F24=5900
%2824%2F59%29%2859x%2F24%29=%2824%2F59%295900
x=2400
A raised: x=$2400
B raised: 5/8x=5/8(2400)=$1500
c raised: 5/6x=5/6(2400)=$2000
:
Sanity Check:
If we add the amounts A, B, and C raised, do we get $5900 as claimed?
2400+1500+2000=5900
5900=5900
We seem to be on the right track.
Happy Calculating!!!!