SOLUTION: Sophie Germain took her life savings ($150) to a tax-free clearance sale at Media Warehouse where she wanted to buy some Blu-Rays and some CDs. She could buy 4 Blu-Rays and 8 CDs a

Question 990139: Sophie Germain took her life savings ($150) to a tax-free clearance sale at Media Warehouse where she wanted to buy some Blu-Rays and some CDs. She could buy 4 Blu-Rays and 8 CDs and have $6.40 left or she could buy 6 Blu-Rays and 4 CDs and have $3.00 left.
At this sale, all Blu-Rays are the same price and all CDs are the same price.
Find the sale price of one Blu-Ray and the sale price of one CD. Type your answer with two decimals.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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B=cost of Blu-Ray; C=cost of CD
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4B+8C=$150-$6.40
4B+8C=$143.60 Subtract equation below from this.
8C=$143.60-4B
C=$17.95-0.5B
.
6B+4C=$150-$3
6B+4C=$147 Multiply by 2
12B+8C=$294 Subtract this from second equation above.
.
( 4B+8C=$143.60)
-(12B+8C=$294.00)
--------------------
-8B=-$150.40
B=$18.80 ANSWER 1: Blu-Rays cost $18.80
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C=$17.95-0.5B
C=$17.95-0.5($18.80)
C=$17.95-$9.40
C=$8.55 ANSWER 2: CDs cost $8.55.
.
CHECK:
6B+4C=$147
6($18.80)+4($8.55)=$147
$112.80+$34.20=$147
$147=$147

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