SOLUTION: There are three options for fans purchasing a band's new release CD. They can purchase the CD, a premium CD bundle, or a deluxe CD bundle. A CD costs $18. A deluxe CD bundle costs

Click here to see ALL problems on Matrices-and-determiminant

Question 1185799: There are three options for fans purchasing a band's new release CD. They can purchase the CD, a premium CD bundle, or a deluxe CD bundle. A CD costs $18. A deluxe CD bundle costs the same as 2 premium CD bundles. The band sells 475 CDs, 120 premium CD bundles, and 60 deluxe CD bundles for a total of $14,550. Find the price of each option.
Found 2 solutions by mananth, josgarithmetic:
Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website!
There are three options for fans purchasing a band's new release CD. They can purchase the CD, a premium CD bundle, or a deluxe CD bundle. A CD costs $18. A deluxe CD bundle costs the same as 2 premium CD bundles. The band sells 475 CDs, 120 premium CD bundles, and 60 deluxe CD bundles for a total of $14,550. Find the price of each option.
the CD, numbers sold x $18 each numbers sold 475
a premium CD bundle, numbers sold 120 @ $ x
a deluxe CD bundle. sold 60 @ $2x
18*475+120x+60*2x =14550
8550 +240x=14550
240x = 6000
x= 25
2x=50
Premium CDs $25
Delux CDs $50
check
18*475+120*25+50*60 =14550

Answer by josgarithmetic(39623) (Show Source):
You can put this solution on YOUR website!

OPTION PRICE QTY. COST CD $18 475 Prem.Bundle p 120 Dlx.Bundle 2p 60 TOTALS 14550

Fill in the separate costs data.

OPTION PRICE QTY. COST CD $18 475 18*475 Prem.Bundle p 120 120p Dlx.Bundle 2p 60 60*2p TOTALS 14550

The obvious equation,

Some algebraic steps:

----------simplify and compute this.
.
.
.