document.write( "Question 339756: A businessman invested $12000 in two ventures. In one he made a profit of 8% and in the other he lost 4%. His net profit for the year was $120. How much did he invest in each venture. I KNOW THE ANSWER BY GUESSING, BUT I NEED AN EQUATION TO ACTUALLY SHOW HOW I DID IT. \n" ); document.write( "
Algebra.Com's Answer #243389 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! A businessman invested $12000 in two ventures. In one he made a profit of 8% and in the other he lost 4%. His net profit for the year was $120. How much did he invest in each venture. \n" ); document.write( ". \n" ); document.write( "Let x = amount invested at 8% \n" ); document.write( "then \n" ); document.write( "12000-x = amount invested at 4% \n" ); document.write( ". \n" ); document.write( ".08x - .04(12000-x) = 120 \n" ); document.write( ".08x - 480+.04x = 120 \n" ); document.write( ".12x - 480 = 120 \n" ); document.write( ".12x = 600 \n" ); document.write( "x = $5000 (amount invested at 8%) \n" ); document.write( ". \n" ); document.write( "amount invested at 4%: \n" ); document.write( "12000-x = 12000-5000 = $7000 \n" ); document.write( " |