document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=112029>Question 112029</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me with this problem.  Thanks in advance.\r<BR>\n" );
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document.write( "On an algebra test 39 more pupils passed than failed.  On a new test,<BR>\n" );
document.write( "7 who had passed the first test failed, and one third of those who <BR>\n" );
document.write( "failed on the first test passed the second test.  As a result, 31 more<BR>\n" );
document.write( "passed the second test than failed it.  What was the record of passing<BR>\n" );
document.write( "and failing on the first test?\r<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 #81736 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=81736\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an expression for each statement:<BR>\n" );
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document.write( "Let x = number of students that originally failed<BR>\n" );
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document.write( "On an algebra test 39 more pupils passed than failed. <BR>\n" );
document.write( "(x+39) =  number of students that passed originally<BR>\n" );
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document.write( "On a new test,<BR>\n" );
document.write( "7 who had passed the first test failed,<BR>\n" );
document.write( "(x+39) - 7 <BR>\n" );
document.write( "x + 32 = Students who passed new test (from those that passed the 1st test)<BR>\n" );
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document.write( "and one third of those who failed on the first test passed the second test. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x = students who failed, passed the new test<BR>\n" );
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document.write( "As a result, 31 more passed the second test than failed it. What was the record of passing and failing on the first test?<BR>\n" );
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document.write( "Total passing of the 2nd test: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + (x+32)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 32<BR>\n" );
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document.write( "Total failed the 2nd test: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 7<BR>\n" );
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document.write( "2nd test<BR>\n" );
document.write( "Passed - failed = 31<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 32 - (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 7) = 31<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 32 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - 7 = 31<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 25 = 31<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x = 31 - 25<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x = 6<BR>\n" );
document.write( "2x = 3 * 6<BR>\n" );
document.write( "2x = 18 <BR>\n" );
document.write( "x = 9 failed originally<BR>\n" );
document.write( "then<BR>\n" );
document.write( "9 + 39 = 48 passed originally<BR>\n" );
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document.write( "Check solution on the new test data:<BR>\n" );
document.write( "12 + 32 = 44 passed (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 32)<BR>\n" );
document.write( " 6 + 7 =  13 failed (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 7)<BR>\n" );
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document.write( "difference = 31<BR>\n" );
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