document.write( "Question 274183: If you made an extra $9,000. You invested part of the money at 10% and the rest at 8%. You make a total of $840 in interest. How much was invested at 8%? \n" ); document.write( "
Algebra.Com's Answer #200148 by fractalier(6550) You can put this solution on YOUR website! Let x be how much you invest at 8%. \n" ); document.write( "Then 9000 - x is how much you invest at 10%. \n" ); document.write( "Here's the setup... \n" ); document.write( "(.08)x + (.10)(9000 - x) = 840 \n" ); document.write( "Multiply by 100 to clear decimals and get \n" ); document.write( "8x + 10(9000 - x) = 84000 \n" ); document.write( "8x + 90000 - 10x = 84000 \n" ); document.write( "-2x + 90000 = 84000 \n" ); document.write( "-2x = -6000 \n" ); document.write( "x = 3000 \n" ); document.write( "Thus $3000 was invested at 8%. \n" ); document.write( " |