SOLUTION: Bessy has 6 times as much money as Bob, but when each earns $6, Bessy will have 3 times as much money as Bob. How much does each have before and after earning the $6?

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Question 339370: Bessy has 6 times as much money as Bob, but when each earns $6, Bessy will have 3 times as much money as Bob. How much does each have before and after earning the $6?
Answer by stanbon(75887) About Me  (Show Source):
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Bessy has 6 times as much money as Bob, but when each earns $6, Bessy will have 3 times as much money as Bob. How much does each have before and after earning the $6?
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Equations:
Bes = 6*Bo
(Bes + 6) = 3(Bo+6)
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Substitute for Bes and solve for Bo.
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(6Bo + 6) = 3Bo+18
3Bo = 12
Bo = $4 (amt Bob has before earning $6; $10 after earning $6)
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Bes = 6Bo = 6(4) = $24 (amt Bes has before ; she has $30 after earning $6)
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Cheers,
Stan H.