Question 54035: this is my problem of the week.
a wealthy man died and left an estate of $975,240 to be divided among 5 friends, 4 charities and his university. His will directed that each friend should recieve 3 times as much as all the charities combined and that each charity should receive twice as much as the university. How much did they each recieve?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a wealthy man died and left an estate of $975,240 to be divided among 5 friends, 4 charities and his university. His will directed that each friend should recieve 3 times as much as all the charities combined and that each charity should receive twice as much as the university. How much did they each recieve?
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Let the university receive "x".
4 charities will each receive "2x" or a total of "8x"
5 friends will each receive 3(8x) or a total of 120x
EQUATION:
x+8x+120x= 975,240
129x= 975,240
x=$7560 (amount the university gets)
2x=$15120 (amount each charity will receive)
3(8x)=24x=$181,440 (amount each friend will receive)
Cheers,
Stan H.
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