SOLUTION: Lina bought CDs at $5 each and sold them at $8 each. To promote sales, all customers who bought 2 CDs were given 1 free CD. After she had sold all her CDs, Lina made a profit of $6

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Lina bought CDs at $5 each and sold them at $8 each. To promote sales, all customers who bought 2 CDs were given 1 free CD. After she had sold all her CDs, Lina made a profit of $6      Log On

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Question 584692: Lina bought CDs at $5 each and sold them at $8 each. To promote sales, all customers who bought 2 CDs were given 1 free CD. After she had sold all her CDs, Lina made a profit of $660 despite giving away 120 CDs to her customers. How many of Lina's customers bought only one CD?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
240 sold
240*8=$1920 received
120 given away
360 *5=1800 cost
1920-1800=120 profit on selling 240 and giving away 120 CDs.
She made one dollar profit on the deal of giving away one for every two sold.
cost 15 for the three cds and received 16 for two sold
profit 16-15=1 dollar.
So she must have made 540 profit on the singles.
660-120=540 profit on single CDs.
She made a profit of three dollars on each single cd.
540/3=180 singles sold
180*3=540
360=240+120 (240 sold and 120 given away)
240+120+180=540 sold or given away