document.write( "Question 181391: in an IRA valued at $53,900, a couple owns 500 shares of stock. some in big bank and some in safe savings. big bank sells for $115 and safe save sells for $97 how many shares of each do they own \n" ); document.write( "

Algebra.Com's Answer #135996 by Mathtut(3670) $\"\"$ $\"About$

You can put this solution on YOUR website!
we have to assume that the entire value of the investment are in these stocks to do this problem
\n" ); document.write( ":
\n" ); document.write( "let x and y be the number of shares in big bank and safe save respectively
\n" ); document.write( ":
\n" ); document.write( "x+y=500.........eq 1
\n" ); document.write( "115x+97y=53900..eq 2
\n" ); document.write( ":
\n" ); document.write( "rewrite eq 1 to x=500-y and plug it into eq 2
\n" ); document.write( ":
\n" ); document.write( "115(500-y)+97y=53900
\n" ); document.write( ":
\n" ); document.write( "57500-115y+97y=53900
\n" ); document.write( ":
\n" ); document.write( "-18y=-3600
\n" ); document.write( ":
\n" ); document.write( " $\"highlight%28y=200%29\"$ shares of safe save
\n" ); document.write( ":
\n" ); document.write( " $\"highlight%28x=500-y=500-200=300%29\"$ shares of big bank \n" ); document.write( "

\n" );