document.write( "Question 55324: a total of $1150 was invested, part of it at 12% and part at 11%. the total yield was $133.75. how much invested at each rate? \n" ); document.write( "
Algebra.Com's Answer #37580 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! a total of $1150 was invested, part of it at 12% and part at 11%. the total yield was $133.75. how much invested at each rate? \n" ); document.write( ": \n" ); document.write( "We know the total of the two investments is $1150, so if the 12% amt = x, \n" ); document.write( "Then the 11% amt = (1150-x) \n" ); document.write( ": \n" ); document.write( "Int @ 12% + Int @ 11% = 133.75 \n" ); document.write( ": \n" ); document.write( ".12x + .11(1150-x) = 133.75 \n" ); document.write( ": \n" ); document.write( ".12x + 126.5 - .11x = 133.75 \n" ); document.write( ": \n" ); document.write( ".12x - .11x = 133.75 - 126.5 \n" ); document.write( ": \n" ); document.write( ".01x = 7.25 \n" ); document.write( ": \n" ); document.write( "x = 7.25/.01 \n" ); document.write( ": \n" ); document.write( "x = $725 invested at 12% \n" ); document.write( ": \n" ); document.write( "1150 - 725 = $425 invested at 11% \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check: \n" ); document.write( " .12(725) + .11(425) = \n" ); document.write( " 87 + 46.75 = 133.75 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |