document.write( "Question 1115138: Jack inherited $16,000 and invested it in two bonds that pay 6% and 8% annual interest. At the end of one year the interest from the 8% bond was $580 greater than the interest from the 6%. How much was invested in each bond? \n" ); document.write( "
Algebra.Com's Answer #730050 by addingup(3677) You can put this solution on YOUR website! x + y = 16,000 subtract y from both sides: x = 16,000-y \n" ); document.write( "------------------------------------------------- \n" ); document.write( "0.06x + 580 = 0.08y \n" ); document.write( "0.06x -0.08y = -580 substitute for x: \n" ); document.write( "0.06(16,000-y) - 0.08y = -580 \n" ); document.write( "960-0.06y-0.08y = -580 \n" ); document.write( "-0.14y = -1540 \n" ); document.write( "y = 11,000 \n" ); document.write( "$11,000 was invested at 8% and (16,000-11,000 = 5,000) $5,000 was invested at 6% \n" ); document.write( "----------------------------------------------- \n" ); document.write( "Check: \n" ); document.write( "11,000*0.08 = 880 \n" ); document.write( "5,000*0.06 = 300 \n" ); document.write( "and 880 - 300 = 580, so he made $580 more from the investment at 8%, just like the problem says. \n" ); document.write( " \n" ); document.write( " |