document.write( "Question 165428: Karen Smith bought two plots of land for a total of $120,000. When she sold the first plot, she made a profit of 15%. When she solde the second, she lost 10%. Her total profit was $5500. How much did she pay for each piece of land? \n" ); document.write( "
Algebra.Com's Answer #122050 by ankor@dixie-net.com(22740)\"\" \"About 
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two plots of land for a total of $120,000. When she sold the first plot, she made a profit of 15%. When she sold the second, she lost 10%. Her total profit was $5500. How much did she pay for each piece of land?
\n" ); document.write( ":
\n" ); document.write( "Let x amt paid for the 1st plot
\n" ); document.write( "then
\n" ); document.write( "(120000-x) = amt paid for the 2nd plot
\n" ); document.write( ":
\n" ); document.write( "Profit - loss = 5500
\n" ); document.write( ".15x - .10(120000-x) = 5500
\n" ); document.write( ":
\n" ); document.write( ".15x - 12000 + .10x = 5500
\n" ); document.write( ":
\n" ); document.write( ".15x + .10x = 5500 + 12000
\n" ); document.write( ":
\n" ); document.write( ".25x = 17500
\n" ); document.write( "x = \"17500%2F.25\"
\n" ); document.write( "x = $70,000 for the 1st plot
\n" ); document.write( ":
\n" ); document.write( "Find the cost of the 2nd plot
\n" ); document.write( "120000 - 70000 = $50,000 for the 2nd plot
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution
\n" ); document.write( ".15*70000 = 10,500
\n" ); document.write( ".10*50000 = -5,000
\n" ); document.write( "--------------------
\n" ); document.write( "total profit 5,500 \n" ); document.write( "
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