document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=903439>Question 903439</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An investor bought 600 shares of stock, some at $5.75 per share and some at $7.00 per share. If the total cost was $4,075.00, how many shares of each stock did the investor buy?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #548019 by </B><A HREF=/tutors/aboutme.mpl?userid=AlgebraLady88><B>AlgebraLady88(44)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=AlgebraLady88><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=AlgebraLady88><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=548019\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We can tackle this type of question step by step, which would be less confusing and daunting .<BR>\n" );
document.write( "So, the first statement is that ,\" an investor bought 600 shares of stock, some at $5.75 per share and some at $7.00 per share.\"\r<BR>\n" );
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document.write( "Right off we know how many stocks he bought and that he bought two types. We can write this out as\r<BR>\n" );
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document.write( "x+y = 600 \r<BR>\n" );
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document.write( "'x' for one type and 'y' for the other.<BR>\n" );
document.write( "Now, wasn't that easy? \r<BR>\n" );
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document.write( "Now , the next statement tells us that the total cost was $4075.00 and the question concerns how many shares of each stock the investor bought.\r<BR>\n" );
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document.write( "This again can be written as :\r<BR>\n" );
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document.write( "5.75 x + 7.00 y = 4075\r<BR>\n" );
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document.write( "We don't know how many 'x' stocks and how many 'y' stocks he bought. That's what we are trying to find out.\r<BR>\n" );
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document.write( "We now have two equations:\r<BR>\n" );
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document.write( "x+y = 600               (a)<BR>\n" );
document.write( "5.75 x+ 7.00 y= 4075    (b)\r<BR>\n" );
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document.write( "We will use the process of elimination. In (a) we will multiply each by -7<BR>\n" );
document.write( "to get\r<BR>\n" );
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document.write( "-7x-7y = -4200          (c)\r<BR>\n" );
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document.write( "Now, we will add equations (b) and (c)<BR>\n" );
document.write( "and get\r<BR>\n" );
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document.write( "-1.25 x=  - 125<BR>\n" );
document.write( "      x=  100<BR>\n" );
document.write( "That means, y= 500 based on equation (a)\r<BR>\n" );
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document.write( "To check:\r<BR>\n" );
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document.write( "We will plug in numbers into equation (b)\r<BR>\n" );
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document.write( "5.75 x + 7 y= 4075<BR>\n" );
document.write( "5.75 (100) + 7 ( 500) = 4075  Voila!\r<BR>\n" );
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