document.write( "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.\r
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document.write( "At this sale, all Blu-Rays are the same price and all CDs are the same price.\r
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document.write( "Find the sale price of one Blu-Ray and the sale price of one CD. Type your answer with two decimals. \n" );
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Algebra.Com's Answer #610248 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "B=cost of Blu-Ray; C=cost of CD \n" ); document.write( ". \n" ); document.write( "4B+8C=$150-$6.40 \n" ); document.write( "4B+8C=$143.60 Subtract equation below from this. \n" ); document.write( "8C=$143.60-4B \n" ); document.write( "C=$17.95-0.5B \n" ); document.write( ". \n" ); document.write( "6B+4C=$150-$3 \n" ); document.write( "6B+4C=$147 Multiply by 2 \n" ); document.write( "12B+8C=$294 Subtract this from second equation above. \n" ); document.write( ". \n" ); document.write( " ( 4B+8C=$143.60) \n" ); document.write( "-(12B+8C=$294.00) \n" ); document.write( "-------------------- \n" ); document.write( "-8B=-$150.40 \n" ); document.write( "B=$18.80 ANSWER 1: Blu-Rays cost $18.80 \n" ); document.write( ". \n" ); document.write( "C=$17.95-0.5B \n" ); document.write( "C=$17.95-0.5($18.80) \n" ); document.write( "C=$17.95-$9.40 \n" ); document.write( "C=$8.55 ANSWER 2: CDs cost $8.55. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "6B+4C=$147 \n" ); document.write( "6($18.80)+4($8.55)=$147 \n" ); document.write( "$112.80+$34.20=$147 \n" ); document.write( "$147=$147 \n" ); document.write( " \n" ); document.write( " |