document.write( "Question 159178: Write and solve a system of equations for a given model / word problem:\r
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document.write( " 1. A total of $10,000 was invested in two bond mutual funds, a junk bond fund and a government bond fund. The junk fund is risky and yields 11% interest. The safer government bond fund yields only 5%. The year’s total income from the two investments was $740. How much was invested in each fund?
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Algebra.Com's Answer #117317 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A total of $10,000 was invested in two bond mutual funds, a junk bond fund and a government bond fund. \n" ); document.write( "j + g = 10000 \n" ); document.write( "---------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The junk fund is risky and yields 11% interest. The safer government bond fund yields only 5%. The year’s total income from the two investments was $740. \n" ); document.write( "0.11j + 0.05g = 740 \n" ); document.write( "------------------------\r \n" ); document.write( "\n" ); document.write( " How much was invested in each fund? \n" ); document.write( "--------------------------- \n" ); document.write( "Rearrange for elimination: \n" ); document.write( "5j + 5g = 50000 \n" ); document.write( "11j+ 5g = 74000 \n" ); document.write( "----------------------- \n" ); document.write( "Subtract 1st from 2nd: \n" ); document.write( "6j = 24000 \n" ); document.write( "j = $4000 (amount invested in junk) \n" ); document.write( "Since j+g= 10000, g = $6000 \n" ); document.write( "================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |