document.write( "Question 260862: I am having a hard time setting a word problem up. The word problem is this - Carl bought two plots of land for a total of $120,000. When he sold the first plot, he made a profit of 15%. When he sold the second, he lost 10%. His total profit was $5500. How much did he pay for each piece of land? \n" ); document.write( "
Algebra.Com's Answer #192179 by Greenfinch(383)![]() ![]() You can put this solution on YOUR website! 1st piece of land cost a and made profit of 0.15 a \n" ); document.write( "2nd cost (120000 - a ) and made loss of (120000 - a) 0.1 \n" ); document.write( "Adding up 0.15a - 12000 + 0.1a = to a profit of 5500 \n" ); document.write( "Net cost is 0.25a - 12000 = 5500 \n" ); document.write( "So 0.25 a = 17,500 \n" ); document.write( "So a = 70000 \n" ); document.write( "Check 15% of 70 000 is 10,500 profit \n" ); document.write( "10% 0f the rest (50000) is 5000 loss \n" ); document.write( "Difference is $5500 \n" ); document.write( " |