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Question 414342: A wealthy man died and left an estate of $975, 240 to be divided among 5 friends, 4 charitable organizations, and his university. His will directed that each friend should receive 3 times as much as all the charities combined, and that each charity should receive twice as much as the the university. How much did they all receive?
Found 2 solutions by stanbon, josmiceli:
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 charitable organizations, and his university. His will directed that each friend should receive 3 times as much as all the charities combined, and that each charity should receive twice as much as the the university. How much did they all receive?
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Let university share be "x".
Then each charity's share is "2x".
And each friend should receive 3(4*2x)) = 24x
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Solve: 5*24x + 4(2x) + x = 975240
120x+8x+x = 975240
129x = 975240
x = 7560 (university share)
2x = 15120 (each charity's share)
24x = 24*7560 = 181440 (each friend's share)
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Cheers,
Stan H.
Answer by josmiceli(19441)  (Show Source):
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