document.write( "Question 631436: Suppose Wal-Mart stock is selling at $59 a share and Mattel stock is selling at $28 a share. Amy has a maximum of $6000 to invest. She wishes to purchase four times as many shares of Wal-Mart as of Mattel. Only whole shares of stock can be purchased.
\n" ); document.write( "a) How many shares of each will she purchase?
\n" ); document.write( "b) How much money will be left over? \n" ); document.write( "

Algebra.Com's Answer #397574 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = shares of WM stock purchased
\n" ); document.write( "Let $\"+b+\"$ = shares of M stock purchased
\n" ); document.write( "given:
\n" ); document.write( " $\"+59a+%2B+28b+=+6000+\"$
\n" ); document.write( " $\"+a+=+4b+\"$
\n" ); document.write( "-----------
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"+59%2A4b+%2B+28b+=+6000+\"$
\n" ); document.write( " $\"+236b+%2B+28b+=+6000+\"$
\n" ); document.write( " $\"+264b+=+6000+\"$
\n" ); document.write( " $\"+b+=+22.73+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+a+=+4b+\"$
\n" ); document.write( " $\"+a+=+90.91+\"$
\n" ); document.write( "Can she buy 91 shares of WM and 22 shares of M?
\n" ); document.write( " $\"+59a+%2B+28b+=+6000+\"$
\n" ); document.write( " $\"+59%2A91+%2B+28%2A22+=+5369+%2B+616+\"$
\n" ); document.write( " $\"+5369+%2B+616+=+5985+\"$ yes
\n" ); document.write( "She will have $\"+6000+-+5985+=+15+\"$ dollars left over
\n" ); document.write( "She can't buy another share of either stock,
\n" ); document.write( "since that would put her over $6000 \n" ); document.write( "

\n" );