document.write( "Question 127122: Bob invested $20,000, part at 14% and part at 13%. If the total interest at the end of the year is $2,720, how much did he invest at 14%? \n" ); document.write( "
Algebra.Com's Answer #93156 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Bob invested $20,000, part at 14% and part at 13%. If the total interest at the end of the year is $2,720, how much did he invest at 14%? \n" ); document.write( ": \n" ); document.write( "Let x = amt invested at 14% \n" ); document.write( ": \n" ); document.write( "It said the total invested was $20,000, therefore \n" ); document.write( "(20000 - x) amt invested at 13% \n" ); document.write( ": \n" ); document.write( ".14x + .13(20000 - x) = 2720 \n" ); document.write( ": \n" ); document.write( ".14x + 2600 - .13x = 2720 \n" ); document.write( ": \n" ); document.write( ".14x - .13x = 2720 - 2600 \n" ); document.write( ": \n" ); document.write( ".01x = 120 \n" ); document.write( "x = \n" ); document.write( "x = 12,000 invested at 14% \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in original equation: (amt invested at 13% = 8000) \n" ); document.write( ".14(12000) + .13(8000) = \n" ); document.write( "1680 + 1040 = 2720; confirms our solution \n" ); document.write( " |