document.write( "Question 896479: An investor wants to mix a 1% investment and a 3.1% investment to create a portfolio with a 1.8% profit. What percentage of the portfolio must be invested in the first and second investment respectively? \n" ); document.write( "

Algebra.Com's Answer #543605 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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An investor wants to mix a 1% investment and a 3.1% investment to create a portfolio with a 1.8% profit.
\n" ); document.write( " What percentage of the portfolio must be invested in the first and second investment respectively?
\n" ); document.write( ":
\n" ); document.write( "let's use a total value of $1000 for the two investments.
\n" ); document.write( "let x = amt invested at 3.1%
\n" ); document.write( "then
\n" ); document.write( "(1000-x) = amt invested at 1%
\n" ); document.write( ":
\n" ); document.write( ".01(1000-x) + .031x = .018(1000)
\n" ); document.write( "10 - .01x + .031x = 18
\n" ); document.write( "-.01x + .031x = 18 - 10
\n" ); document.write( ".021x = 8
\n" ); document.write( "x = $\"8%2F.021\"$
\n" ); document.write( "x = 380.95 invested at 3.1%; which is 381/1000 = 38.1%
\n" ); document.write( "then
\n" ); document.write( "1000 - 381 = $619 invested at 1%, which is 619/1000 = 61.9% \n" ); document.write( "

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