SOLUTION: Troy decided to give away some of his compact disc. he gave one-fourth of his CDs to Todd. Then he gave half of the remaining CDs to Ryan. If he is left with six CDs, how many did

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Troy decided to give away some of his compact disc. he gave one-fourth of his CDs to Todd. Then he gave half of the remaining CDs to Ryan. If he is left with six CDs, how many did       Log On


   

Question 643237: Troy decided to give away some of his compact disc. he gave one-fourth of his CDs to Todd. Then he gave half of the remaining CDs to Ryan. If he is left with six CDs, how many did he have in the beginning ?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Troy decided to give away some of his compact disc. he gave one-fourth of his CDs to Todd. Then he gave half of the remaining CDs to Ryan. If he is left with six CDs, how many did he have in the beginning ?
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Let x be the # he had in the beginning.
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Start: x
After giving (1/4)x he has (3/4)x
After giving (1/2) he has (1/2)(3/4)x = (3/8)x
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Equation:
(3/8)x = 6
x = 2*8
x = 16 CD's
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Cheers,
Stan H.
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