document.write( "Question 590579: Dr. Blumen invested $5000. Part of it was invested in bonds at a rate of 6% and the rest was invested in a money market at a rate of 7.5%. If the annual interest is $337.50, how much did she invest in bonds? \n" ); document.write( "
Algebra.Com's Answer #375212 by mananth(16949) You can put this solution on YOUR website! Bonds 6.00% per annum ---x \n" ); document.write( "Money market 7.50% per annum ---y \n" ); document.write( " \n" ); document.write( "x+y= 5000 ------------------------1 \n" ); document.write( "6.00% x+7.50% y=337.5 \n" ); document.write( "Multiply by 100 \n" ); document.write( "6x+7.5y= = 33750.00 --------2 \n" ); document.write( "Multiply (1) by -6 \n" ); document.write( "we get \n" ); document.write( "-6x-6y= -30000.00 \n" ); document.write( "Add this to (2) \n" ); document.write( "0x+1.5y=3750 \n" ); document.write( "divide by 1.5 \n" ); document.write( "y = 2500 Bonds 7.50% \n" ); document.write( "Balance 2500 Money market 6.00% \n" ); document.write( "CHECK \n" ); document.write( "2500 --------- 7.50% ------- 187.50 \n" ); document.write( "2500 ------- 6.00% ------- 150.00 \n" ); document.write( "Total -------------- 337.50 \n" ); document.write( " \n" ); document.write( " |