document.write( "Question 216656: Sam Yates invested $15000 in an account that pays 10% simple interst. How much additional money must be invested in an account that pays 13% simple interest so that the average return on the two investments amounts to 11%. \n" ); document.write( "

Algebra.Com's Answer #163584 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Sam Yates invested $15000 in an account that pays 10% simple interest.
\n" ); document.write( " How much additional money must be invested in an account that pays 13% simple
\n" ); document.write( "interest so that the average return on the two investments amounts to 11%.
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\n" ); document.write( "Let x = amt of 13% investment
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\n" ); document.write( "Treat as a simple mixture problem
\n" ); document.write( ".10(15000) + .13x = .11(x+15000)
\n" ); document.write( "1500 + .13x = .11x + 1650
\n" ); document.write( ".13x - .11x = 1650 - 1500
\n" ); document.write( ".02x = 150
\n" ); document.write( "x = $\"150%2F.02\"$
\n" ); document.write( "x = $7500 needs to be invested at 13%
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\n" ); document.write( "Check solution in original equation:
\n" ); document.write( ".10(15000) + .13(7500) = .11(7500+15000)
\n" ); document.write( "1500 + 975 = .11(22500)
\n" ); document.write( "2475 = 2475; confirms our solution
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