SOLUTION: Nancy bought 12 CDs. Some of the CDs coat $7.50 each and the rest cost $6.50 each. How many CDs were bought at each price if Nancy spent a total of $82?

Algebra ->  Test -> SOLUTION: Nancy bought 12 CDs. Some of the CDs coat $7.50 each and the rest cost $6.50 each. How many CDs were bought at each price if Nancy spent a total of $82?      Log On


   

Question 639250: Nancy bought 12 CDs. Some of the CDs coat $7.50 each and the rest cost $6.50 each. How many CDs were bought at each price if Nancy spent a total of $82?
Answer by aquyu214(10) About Me  (Show Source):
You can put this solution on YOUR website!
X as CDs cost 7.5 ea
Y as CDs cost 6.5 ea
7.5*X+6.5*Y=82
X+Y=12
If all 12 CD are 7.5 ea,
7.5*X+7.5*Y=90
Minus [7.5*X+6.5*Y=82]
Y=8
X=4