SOLUTION: Joe maintains a special account just for entertainment. One week, he spends 20% of this account of entertainment. The next week, he spends 25% of what remains on entertainment. Aft

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Joe maintains a special account just for entertainment. One week, he spends 20% of this account of entertainment. The next week, he spends 25% of what remains on entertainment. Aft      Log On


   



Question 1102125: Joe maintains a special account just for entertainment. One week, he spends 20% of this account of entertainment. The next week, he spends 25% of what remains on entertainment. After the two weeks, Joe ends up with y dollars in this account. How much did Joe originally have in his special entertainment account?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Joe maintains a special account just for entertainment. One week, he spends 20% of this account of entertainment. The next week, he spends 25% of what remains on entertainment. After the two weeks, Joe ends up with y dollars in this account. How much did Joe originally have in his special entertainment account?
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start:: x
after one week:: 0.8x
After next week: 0.75(0.8x) == 0.6x
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Equation:
0.6x = y
Ans:: x = 10y/6 = (5/3)y
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Cheers,
Stan H.
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