SOLUTION: If Josh spent half of his money, then he earned $6.00 and then lost 1/6 of his money and now he has $15.00. How much did he start with? Please show work.

Algebra ->  Equations -> SOLUTION: If Josh spent half of his money, then he earned $6.00 and then lost 1/6 of his money and now he has $15.00. How much did he start with? Please show work.      Log On


   

Question 237088: If Josh spent half of his money, then he earned $6.00 and then lost 1/6 of his money and now he has $15.00. How much did he start with? Please show work.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If Josh spent half of his money, then he earned $6.00 and then lost 1/6 of his money and now he has $15.00. How much did he start with?
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Let the amount he started with be "x".
Equation:
(1/2)x + 6 - (1/6)[(1/2)x+6] = 15
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(5/6)[(1/2)x+6] = 15
(1/2)x + 6 = (6/5)*15
(1/2)x + 6 = 18
(1/2)x = 12
x = $24
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Cheers,
Stan H.