document.write( "Question 94565: An art dealer sold two artworks for $1520 thereby making a profit of 25% on the first work and 10% on the other, whereas if he had approached any exhibition he would have sold them together for $1535 with a profit of 10% on the first and 25% on the other artwork. Find the actual cost of each artwork. \n" ); document.write( "
Algebra.Com's Answer #68914 by ankor@dixie-net.com(22740)\"\" \"About 
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An art dealer sold two artworks for $1520 thereby making a profit of 25% on the first work and 10% on the other, whereas if he had approached any exhibition he would have sold them together for $1535 with a profit of 10% on the first and 25% on the other artwork. Find the actual cost of each artwork.
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\n" ); document.write( "Let x = cost of the 1st artwork, Let y = cost of 2nd artwork
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\n" ); document.write( "Art dealer: Retail price 1st piece = 1.25(x); Retail price of 2nd = 1.10(y)
\n" ); document.write( "1.25x + 1.10y = 1520
\n" ); document.write( ":
\n" ); document.write( "Exhibition: Retail price 1st piece = 1.10(x); Retain price of 2nd = 1.25(y)
\n" ); document.write( "1.10x + 1.25y = 1535
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\n" ); document.write( "Use two equation in the elimination method:
\n" ); document.write( "multiply the 1st equation by 100, and the 2nd equation by 88,resulting in:
\n" ); document.write( "125x + 110y = 152000
\n" ); document.write( "96.8x +110y = 135080
\n" ); document.write( "----------------------subtracting eliminates y
\n" ); document.write( "28.2x + 0y = 16920
\n" ); document.write( "x = 16920/28.2
\n" ); document.write( "x = $600 is the cost of the 1st piece
\n" ); document.write( ":
\n" ); document.write( "2nd piece cost using the 1st equation:
\n" ); document.write( "1.25(600) + 1.1y = 1520
\n" ); document.write( "750 + 1.1y - 1520
\n" ); document.write( "1.1y = 1520 - 750
\n" ); document.write( "1.1y = 770
\n" ); document.write( "y = 770/1.1
\n" ); document.write( "y = $700 is the cost of the 2nd equation:
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check our solutions in the 2nd equation:
\n" ); document.write( "1.1(600) + 1.25(700) =
\n" ); document.write( "660 + 875 = 1535 as given
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\n" ); document.write( "Did this make sense to you? In case you wondered how I came up 88 as multiplier
\n" ); document.write( "in the 2nd equation. I multiplied the 1st equation by 100 to get rid of the
\n" ); document.write( "decimal. Then divided 1.25 into 110 and saw it came out to an even 88. \n" ); document.write( "
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