SOLUTION: share $150 among john, mary and sarah so that each of the two girls recieves twice as much as john express mary's share as a fraction of the amount recieved by john and sarah

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: share $150 among john, mary and sarah so that each of the two girls recieves twice as much as john express mary's share as a fraction of the amount recieved by john and sarah      Log On


   



Question 802098: share $150 among john, mary and sarah so that each of the two girls recieves twice as much as john express mary's share as a fraction of the amount recieved by john and sarah
Answer by stanbon(75887) About Me  (Show Source):
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share $150 among john, mary and sarah so that each of the two girls recieves twice as much as john express mary's share as a fraction of the amount recieved by john and sarah
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mary share:: 2x
sarah share:: 2x
john share::: x
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Equation:
2x + 2x + x = 150
5x = 150
x = 30
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Mary's share: 2x = $60
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Sarah + John share: 2x+x = 3x = 3*30 = $90
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Fraction: 60/90 = 2/3
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Cheers,
Stan H.
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