document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=341311>Question 341311</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are more pupils in School A than School B. <BR>\n" );
document.write( "30% of the pupils in School A is 45 more than 40% of the pupils in School B. <BR>\n" );
document.write( "If 10% of the pupils in School A leaves to join School B, there will be 200 more pupils in School A than School B. <BR>\n" );
document.write( "(a) How many pupils are there in School B ? <BR>\n" );
document.write( "(b) How many percent less pupils are there in School B than School A ?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #244405 by </B><A HREF=/tutors/aboutme.mpl?userid=J2R2R><B>J2R2R(94)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=J2R2R><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=J2R2R><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=244405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Supposing the number of pupils in School A is A and the number of pupils in School B is B.\r<BR>\n" );
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document.write( "30% of the pupils in School A is 45 more than 40% of the pupils in School B means\r<BR>\n" );
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document.write( "0.3A = 0.4B + 45 … … … (1)\r<BR>\n" );
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document.write( "If 10% of the pupils in School A leaves to join School B, there will be 200 more pupils in School A than School B means\r<BR>\n" );
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document.write( "0.9A = B + 0.1A + 200 which can be rewritten\r<BR>\n" );
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document.write( "0.8A = B + 200 … … … (2)\r<BR>\n" );
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document.write( "(1) can be rewritten 3A = 4B + 450. Multiply by 5 gives 15A = 20B + 2250\r<BR>\n" );
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document.write( "(2) can be rewritten 8A = 10B + 2000. Multiply by 2 gives 16A = 20B + 4000\r<BR>\n" );
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document.write( "Solving gives A = 1750; B = 1200\r<BR>\n" );
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document.write( "Checking:\r<BR>\n" );
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document.write( "30% of A = 525\r<BR>\n" );
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document.write( "40% of B = 480\r<BR>\n" );
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document.write( "480 + 45 = 525\r<BR>\n" );
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document.write( "0.9 A = 1575\r<BR>\n" );
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document.write( "B + 0.1A = 1375\r<BR>\n" );
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document.write( "1375 + 200 = 1575\r<BR>\n" );
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document.write( "(a) How many pupils are there in School B? 1200 pupils\r<BR>\n" );
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document.write( "(b) How many percent less pupils are there in School B than School A? (1750 - 1200)/1750 = 550/1750 = 31.43% </SPAN>\n" );
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