SOLUTION: Mike works part time to earn spending money and to save for college. Each month he saves 1/3 of his earnings, spends 1/5 of his earnings on eating out and spends 1/6 on transportat

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Mike works part time to earn spending money and to save for college. Each month he saves 1/3 of his earnings, spends 1/5 of his earnings on eating out and spends 1/6 on transportat      Log On


   

Question 988843: Mike works part time to earn spending money and to save for college. Each month he saves 1/3 of his earnings, spends 1/5 of his earnings on eating out and spends 1/6 on transportation. The remainder will be used for entertainment. Last month he spent $45 on entertainment. How much did he earn last month.
Answer by stanbon(75887) About Me  (Show Source):
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Mike works part time to earn spending money and to save for college. Each month he saves 1/3 of his earnings, spends 1/5 of his earnings on eating out and spends 1/6 on transportation. The remainder will be used for entertainment. Last month he spent $45 on entertainment. How much did he earn last month.
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Let his monthly earnings be "x".
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Equation:
x - (x/3) - (x/5) - (x/6) = 45
30x - 10x - 6x - 5x = 45
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9x = 45*30
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x = 5*30 = $150
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Cheers,
Stan H.
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