document.write( "Question 659637: An investor invested a total of $1400 in two mutual funds. One fund earned a 6% profit while the other earned a 2% profit. If the investor's total profit was $72, how much was invested in each mutual fund? \n" ); document.write( "
Algebra.Com's Answer #410880 by ReadingBoosters(3246)![]() ![]() ![]() You can put this solution on YOUR website! x + y = $1400 \n" ); document.write( ".06x + .02y = 72\r \n" ); document.write( "\n" ); document.write( "Elimination \n" ); document.write( "Multiply the first equation by .06 and subtract the second equation \n" ); document.write( ".06(x + y = 1400) or \n" ); document.write( " .06x + .06y = 84 \n" ); document.write( "-.06x + .02y = 72 \n" ); document.write( ".06x - .06x + .06y - .02y = 84 - 72 \n" ); document.write( "Combine like terms \n" ); document.write( ".04y = 12 \n" ); document.write( ".04y/.04 = 12/.04 \n" ); document.write( "y = 300\r \n" ); document.write( "\n" ); document.write( "Plug y into the first equation \n" ); document.write( "x + 300 = 1400 \n" ); document.write( "x + 300 - 300 = 1400 - 300 \n" ); document.write( "x = 1100\r \n" ); document.write( "\n" ); document.write( "$300 at 2% and $1100 at 6% \n" ); document.write( " |