document.write( "Question 444540: You invested money in two funds. Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you recieved a total of $900. This year, the first fund paid a 10% dividend and the second only 1%, and you received a total of $860. How much money did you invest in each fund? \n" ); document.write( "
Algebra.Com's Answer #306423 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Fund I $x \n" ); document.write( "Fund II $y\r \n" ); document.write( "\n" ); document.write( "0.09 x + 0.03 y = 900 .............1 \n" ); document.write( "0.1 x + 0.01 y = 860 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by 1 \n" ); document.write( "Multiply (2) by -3 \n" ); document.write( "0.09x+0.03y=900 \n" ); document.write( "-0.3x-0.03y=-2580 \n" ); document.write( "Add the two equations \n" ); document.write( "-0.21 x = -1680 \n" ); document.write( "/-0.21 \n" ); document.write( "x=8,000.00 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "0.09x+0.03y=900 \n" ); document.write( "720 +0.03y=900 \n" ); document.write( "0.03 y = 900-720 \n" ); document.write( "0.03 y = 180 \n" ); document.write( "y = 6000.00 \n" ); document.write( " \n" ); document.write( " |