document.write( "Question 104213: John invested $7000 into two funds. One fund paid 14% interest per year and the other paid 11% interest per year. The total interest for the year was $902. How much money was invested at each rate? \n" ); document.write( "
Algebra.Com's Answer #75861 by jayanthihemkos@yahoo.com(87)![]() ![]() ![]() You can put this solution on YOUR website! John invested $7000 into two funds. One fund paid 14% interest per year and the other paid 11% interest per year. The total interest for the year was $902. How much money was invested at each rate?\r \n" ); document.write( "\n" ); document.write( " Let one fund = x\r \n" ); document.write( "\n" ); document.write( " The other fund = 7000-x\r \n" ); document.write( "\n" ); document.write( " Interest paid for first fund = 14% of x = (14/100)x \n" ); document.write( " Interest paid for the second fund = 11% of (7000-x) = (11/100)(7000-x) \n" ); document.write( " Total interest = $902 \n" ); document.write( " (14/100)x +(11/100)(7000-x) = $902\r \n" ); document.write( "\n" ); document.write( " (14x + 77000-11x)/100 = $902 \n" ); document.write( " \n" ); document.write( " (3x+77000)/100 = $902 \n" ); document.write( " \n" ); document.write( " (3x+77000) /100*100 = 902*100\r \n" ); document.write( "\n" ); document.write( " 3x +77000 = 90200 \n" ); document.write( " 3x +77000-77000 = 90200-77000 \n" ); document.write( "3x = 13200 \n" ); document.write( "3x/3 = 13200/3 \n" ); document.write( "x = $4400--- interest paid for the first fund \n" ); document.write( "7000-x = 7000-4400 = $2600 Interest paid for the second fund\r \n" ); document.write( "\n" ); document.write( " First fund interest = $4400 \n" ); document.write( " Second fund interest = $2600 \n" ); document.write( " \n" ); document.write( " |