document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011557>Question 1011557</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A number of teachers were to receive 6 pens each but needed 4 more pens for them to be equally divided.if each teacher received 9 pens, 25 more pens would be necessary.how many pens are there? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #627258 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=627258\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let p = number of pens.<BR>\n" );
document.write( "lex x = number of teachers.\r<BR>\n" );
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document.write( "for each teacher to get 6 pens, 4 more pens would be required.\r<BR>\n" );
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document.write( "this means that the number of pens available is equal to 6x - 4.\r<BR>\n" );
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document.write( "for each teacher to get 9 pens, 25 more pens would be required.\r<BR>\n" );
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document.write( "this means that the number of pens available is equal to 9x - 25.\r<BR>\n" );
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document.write( "you have 2 equations.\r<BR>\n" );
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document.write( "p = 6x - 4<BR>\n" );
document.write( "p = 9x - 25\r<BR>\n" );
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document.write( "in both equations, the value of p and the value of x needs to be the same because the number of pens is the same in both equtions and the number of teachers is the same in both equations.\r<BR>\n" );
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document.write( "if you subtract the first equation from the seecond equation, you wind up with.\r<BR>\n" );
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document.write( "0 = 3x - 21\r<BR>\n" );
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document.write( "this is because:<BR>\n" );
document.write( "p minus p = 0<BR>\n" );
document.write( "9x - 6x = 3x<BR>\n" );
document.write( "-25 - (-4) = -25 + 4 = -21\r<BR>\n" );
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document.write( "add 21 to both sides of the equationt to get:\r<BR>\n" );
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document.write( "21 = 3x\r<BR>\n" );
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document.write( "divide both sides of the equation by 3 to get:\r<BR>\n" );
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document.write( "7 = x\r<BR>\n" );
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document.write( "that tells you that the number of teachers has to be equal to 7.\r<BR>\n" );
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document.write( "now that you know the number of teachers, you can solve for the number of pens in each equation.\r<BR>\n" );
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document.write( "p = 6x - 4 becomes p = 42 - 4 which becomes p = 38\r<BR>\n" );
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document.write( "p = 9x - 25 becomes p = 63 - 25 which becomes p = 38.\r<BR>\n" );
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document.write( "you're done.\r<BR>\n" );
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document.write( "the number of pens available is 38.<BR>\n" );
document.write( "the number of teachers is 7.\r<BR>\n" );
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document.write( "they tried to give each of the 7 teachers 6 pens and came up short 4 because they required 42 pens but only have 38.\r<BR>\n" );
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document.write( "42 - 38 = 4\r<BR>\n" );
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document.write( "they tried to give each of the 7 teachers 9 pens and came up short 25 because they required 63 pens but only have 38.\r<BR>\n" );
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document.write( "63 - 38 = 25\r<BR>\n" );
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document.write( " </SPAN>\n" );
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