# At a flea market, Joe bought some DVDs and CDs.

At a flea market, Joe bought some DVDs and CDs.
The CDs sold for $5.00 each, and the DVDs sold for$3.00 each.
If the total cost of the items was $73.00 and the total number of products sold was 17, find how many of each item Joe bought. You can still ask an expert for help Expert Community at Your Service • Live experts 24/7 • Questions are typically answered in as fast as 30 minutes • Personalized clear answers Solve your problem for the price of one coffee • Available 24/7 • Math expert for every subject • Pay only if we can solve it ## Expert Answer Bentley Leach Answered 2021-08-13 Author has 109 answers Let x be the number of CDs bought and y be the number of DVDs bought. The total number of products sold was 17: $x+y=17$ (1) The total cost of the items was$73.00:
$5x+3y=73$ (2)
Solve for y using (1) to obtain (3):
$y=17-x$ (3)
Substitute (3) to (2) and solve for x:
$5x+3\left(17-x\right)=73$
$5x+51-3x=73$
$2x+51=73$
$2x=22$
$x=11$
Solve for y using (3):
$y=17-11$
$y=6$
Joe bought 11 CDs and 6 DVDs