document.write( "Question 384350: Last year Joe Raintree invested $300 more in a stock paying a 6% dividend than he did in a stock paying a 5% dividend. That year he earned $43 more in dividends from the stock paying the higher dividend. How much did he invest in each stock? \n" ); document.write( "

Algebra.Com's Answer #272164 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Last year Joe Raintree invested $300 more in a stock paying a 6% dividend
\n" ); document.write( " than he did in a stock paying a 5% dividend.
\n" ); document.write( " That year he earned $43 more in dividends from the stock paying the higher dividend.
\n" ); document.write( " How much did he invest in each stock?
\n" ); document.write( ":
\n" ); document.write( "Let x = amt invested in 5% stock
\n" ); document.write( "then
\n" ); document.write( "(x+300) = amt invested in 6%
\n" ); document.write( ":
\n" ); document.write( ".06(x+300) = .05x + 43
\n" ); document.write( ".06x + 18 = .05x = 43
\n" ); document.write( ".06x - .05x = 43 - 18
\n" ); document.write( ".01x = 25
\n" ); document.write( "x = $\"25%2F.01\"$
\n" ); document.write( "x = $2500 in vested at 5%
\n" ); document.write( "then, obviously:
\n" ); document.write( "$2800 invested at 6%
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that is true
\n" ); document.write( ".06*2800 = 168
\n" ); document.write( ".05*2500 = 125
\n" ); document.write( "----------------
\n" ); document.write( "dividend dif: 43
\n" ); document.write( " \n" ); document.write( "

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