document.write( "Question 472776: Bob Brown bought two plots of land for a total of $110,000. On the first plot, he made a profit of 16%. On the second, he lost 4%. His total profit was $9600. How much did he pay for each piece of land?\r
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document.write( "How do I start this one?
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document.write( "I came up with .16x-.04y=$110,000
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document.write( ".16x-.04y+.04y=$110,000+.04y
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document.write( ".16x=$110,000+.04y
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document.write( "1/.016 .16x=$110,000+.04y/ by 1/.16\r
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document.write( "Help figure where I went wrong?
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Algebra.Com's Answer #324122 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Bob Brown bought two plots of land for a total of $110,000. \n" ); document.write( "---------- \n" ); document.write( "On the first plot, he made a profit of 16%. On the second, he lost 4%. His total profit was $9600. \n" ); document.write( "---------------- \n" ); document.write( "How much did he pay for each piece of land? \n" ); document.write( "----- \n" ); document.write( "Using 2 variables you would get: \n" ); document.write( "x + y = 110,000 \n" ); document.write( "0.16x - 0.04y = 9600 \n" ); document.write( "---- \n" ); document.write( "Multiply thru 2nd by 100 to get: \n" ); document.write( "x + y = 110,000 \n" ); document.write( "16x-4y = 960000 \n" ); document.write( "------------------------ \n" ); document.write( "Multiply thru 1st equation by 4 to get: \n" ); document.write( "4x + 4y = 4*110,000 \n" ); document.write( "16x+ 4y = 960000 \n" ); document.write( "------------------------ \n" ); document.write( "Subtract and solve for \"x\": \n" ); document.write( "12x = 520000 \n" ); document.write( "x = $43,333.33 (Price paid for 1st parcel of land) \n" ); document.write( "---- \n" ); document.write( "solve for \"y\": \n" ); document.write( "x + y = 110000 \n" ); document.write( "43,333.33 + y = 110000 \n" ); document.write( "y = $66,666.67 (Price paid for 2nd parcel of land) \n" ); document.write( "=================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=================== \n" ); document.write( "======================== \n" ); document.write( " \n" ); document.write( " |