document.write( "Question 68411: $10,000 in two mutual funds, one rose 6% in one year and one rose 9% in one year. It rose a total of $684 in one year. How much was invested in each mutual fund? \n" ); document.write( "
Algebra.Com's Answer #48675 by rmromero(383)\"\" \"About 
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$10,000 in two mutual funds, one rose 6% in one year and one rose 9% in one year. It rose a total of $684 in one year. How much was invested in each mutual fund?\r
\n" ); document.write( "\n" ); document.write( "What is ask?
\n" ); document.write( "How much was invested in each mutual fund?
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\n" ); document.write( "Given:
\n" ); document.write( "the two mutual fund is $ 10, 000
\n" ); document.write( "One fund rose 6% in one year
\n" ); document.write( "The other rose 9% in one year
\n" ); document.write( "The total rose of the funds is $ 684
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\n" ); document.write( "Representation:
\n" ); document.write( "Let x = fund with 6% interest
\n" ); document.write( " y = fund with 9% interest
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\n" ); document.write( "Equation:
\n" ); document.write( "x + y = $ 10, 000
\n" ); document.write( "0.06x + 0.09y = $ 684
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\n" ); document.write( "Solve:
\n" ); document.write( "Multiply 100 to 0.06x + 0.09y = $ 684 to eliminate decimals
\n" ); document.write( " x + y = 10, 000
\n" ); document.write( "6x + 9y = 68, 400
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\n" ); document.write( "Multiply -6 to x + y = 10, 000 to eliminate x
\n" ); document.write( " -6x - 6y = -60, 000
\n" ); document.write( " 6x + 9y = 68, 400
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\n" ); document.write( "Add:
\n" ); document.write( "3y = 8, 400
\n" ); document.write( "y = $ 2, 800
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\n" ); document.write( "Solve for x:
\n" ); document.write( "x + y = 10, 000
\n" ); document.write( "x + 2, 800 = 10, 000
\n" ); document.write( "x = $ 7, 200\r
\n" ); document.write( "\n" ); document.write( "Checking:
\n" ); document.write( "x + y = 10,000
\n" ); document.write( "7, 200 + 2, 800 = 10,000
\n" ); document.write( "10,000= 10,000 ----------->> true\r
\n" ); document.write( "\n" ); document.write( "0.06x + 0.09y = 684
\n" ); document.write( "432 + 252 = 584
\n" ); document.write( "684 = 684 ----------->> true\r
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\n" ); document.write( "Therefore the fund where $2,800 for 9% interest and $7,200 for 6% interest\r
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