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

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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.
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.
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