document.write( "Question 158201This question is from textbook Intermediate Algebra for College Students
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document.write( ": Painting Sales: Joseph DeGuizman, an artist, sells both large paintings and small paintings. He sells his small paintings for $60 and his large paintings for $180. At the end of the week he determined that the total amount he made selling 12 paintings was $1200. Determine the number of small and the number of large paintings that he sold.\r
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document.write( "---I know the answers, more importantly, I cant understand how to setup the equation(s) to get the answers. \n" );
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Algebra.Com's Answer #116584 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! S+L=12 OR S=12-L \n" ); document.write( "60S+180L=1,200 \n" ); document.write( "SUBSTITUTING (12-L) FOR S IN THE SECOND EQUATION WE GET: \n" ); document.write( "60(12-L)+180L=1,200 \n" ); document.write( "720-60L+180L=1,200 \n" ); document.write( "120L=1,200-720 \n" ); document.write( "120L=480 \n" ); document.write( "L=480/120 \n" ); document.write( "L=4 LARGE PAINTING SOLD. \n" ); document.write( "S=4=12 \n" ); document.write( "S=12-4 \n" ); document.write( "S=8 SMALL PAINTINGS SOLD. \n" ); document.write( "PROOF: \n" ); document.write( "60*8+4*180=1,200 \n" ); document.write( "480+720=1,200 \n" ); document.write( "1,200=1,200 \n" ); document.write( " \n" ); document.write( " |