document.write( "Question 69618: The cd's at a store were on sale for $10 and $12. THE counter at the exit says 500 people left with a cd (limit 1 per customer) and the register contains $5750. Maria wrote a system of equations for the number of $10 and $12 CD's. What was the system of equations. \n" ); document.write( "
Algebra.Com's Answer #49593 by checkley75(3666) ![]() You can put this solution on YOUR website! X+Y=500 X=500-Y \n" ); document.write( "10X+12Y=5750 NOW REPLACE X WITH (500-Y) & SOLVE FOR Y \n" ); document.write( "10(500-Y)+12Y=5750 \n" ); document.write( "5000-10Y+12Y=5750 \n" ); document.write( "2Y=5750-5000 \n" ); document.write( "2Y=750 \n" ); document.write( "Y=750/2 \n" ); document.write( "Y=375 THE NUMBER OF $12 CD'S. \n" ); document.write( "NOW SUBSTITUTE 12 FOR Y & SOLVE FOR X \n" ); document.write( "X=275=500 \n" ); document.write( "X=500-275 \n" ); document.write( "X=225 THE NUMBER OF $10 CD'S. \n" ); document.write( "PROOF \n" ); document.write( "10*225+12*275=5750 \n" ); document.write( "2250+3300=5750 \n" ); document.write( "5750=5750 \n" ); document.write( " |