document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=344049>Question 344049</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can you please explain how you get the answer step by step\r<BR>\n" );
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document.write( "Mr. Wise bought $1950 woth of stock, some at $3 per share and some at $4.50 per share. If he bought a total of 450 shares of stock, how many of each did he buy?\r<BR>\n" );
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document.write( "thank you<BR>\n" );
document.write( "april </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #246192 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=246192\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mr. Wise bought $1950 woth of stock, some at $3 per share and some at $4.50 per share. If he bought a total of 450 shares of stock, how many of each did he buy? <BR>\n" );
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document.write( "Let x = number of $3.50 shares purchased<BR>\n" );
document.write( "and y = number of $4.50 shares purchased<BR>\n" );
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document.write( "From: \"Mr. Wise bought $1950 woth of stock\" we get<BR>\n" );
document.write( "3.50x + 4.50y = 1950 (equation 1)<BR>\n" );
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document.write( "From: \"If he bought a total of 450 shares of stock\" we get<BR>\n" );
document.write( "x + y = 450 (equation 2)<BR>\n" );
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document.write( "Apply the \"addition\" method:<BR>\n" );
document.write( "3.50x + 4.50y = 1950<BR>\n" );
document.write( "x + y = 450<BR>\n" );
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document.write( "Multiply the bottom equation by -3.50:<BR>\n" );
document.write( "3.50x + 4.50y = 1950<BR>\n" );
document.write( "-3.50x - 3.50y = -1575<BR>\n" );
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document.write( "Add the two equations together:<BR>\n" );
document.write( "3.50x + 4.50y = 1950<BR>\n" );
document.write( "-3.50x - 3.50y = -1575<BR>\n" );
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document.write( "1.50y = 375<BR>\n" );
document.write( "y = 250 shares at $4.50<BR>\n" );
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document.write( "Shares at $3.50, substitute above into equation 2:<BR>\n" );
document.write( "x + y = 450<BR>\n" );
document.write( "x + 250 = 450<BR>\n" );
document.write( "x = 200 shares at $3.50<BR>\n" );
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