Question 149783: Mother gave Claire and Jane each a certain amount of money to spend. If Jane spent all her money and Claire spect 3 times as much, Claire would have $100 left. If Jane spent all her money and Claire spent 1/3 of what Jane spent, Claire would have $580 left. Find the total amount of money given to Claire and Jane.
Rmks: Pls try not to use algebra.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Mother gave Claire and Jane each a certain amount of money to spend.
Clair got "C" ; Jane got "J".
Total received: C + J
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If Jane spent all her money and Claire spent 3 times as much,
Claire would have $100 left.
C - 3J = 100
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If Jane spent all her money and Claire spent 1/3 of what Jane spent, Claire would have $580 left.
C - (1/3)J = 580
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Find the total amount of money given to Claire and Jane.
Claire had 3*Jane's amount + $100
Claire had (1/3)*Jane's amount + 580
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Those amounts must be the same:
3J + 100 = (1/3)J + 580
(8/3)J = 480
(1/3)J = 60
J = $180 (amount Jane received from her mother)
Since Claire had 3*J + 100, C = 3*180+100 = $640
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Total received from mother was 580 + 180 = $760
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Cheers,
Stan H.
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