document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1173443>Question 1173443</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Elizabeth wishes to purchase $3 boxes of cookies and $5 boxes of cookies. She decides to buy 4 fewer $5 boxes than $3 boxes. How many of each box can she buy for no more than $20?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #798646 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=798646\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = the number of 3 dollars boxes.<BR>\n" );
document.write( "let y = the number of 5 dollar boxes.\r<BR>\n" );
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document.write( "your equation will be 3x + 5y <= 20\r<BR>\n" );
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document.write( "the number of 5 dollars boxes is 1 less than the number of 3 dollars boxes.\r<BR>\n" );
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document.write( "the equation for that is y = x - 4\r<BR>\n" );
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document.write( "in the equation of 3x - 5y <= 20, replace y with x - 4 to get 3x + 5(x-4) <= 20\r<BR>\n" );
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document.write( "simplify this equation to get 3x + 5x - 20 <= 20\r<BR>\n" );
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document.write( "add 20 to both sides of this inequality and combine like terms to get 8x <= 40\r<BR>\n" );
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document.write( "solve for x to get x <= 5\r<BR>\n" );
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document.write( "since y = x - 4, then y <= 1\r<BR>\n" );
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document.write( "when x = 5, y = 1\r<BR>\n" );
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document.write( "3x + 5y <= 20 becomes 3*5 + 5*1 <= 20 which becomes 20 <= 20 which is true.\r<BR>\n" );
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document.write( "any value of x < 5 will result in y being equal to 0.\r<BR>\n" );
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document.write( "if she wants at least one 5 dollar box, then x must be equal to 5.\r<BR>\n" );
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