document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=60783>Question 60783</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help.  This is for G.E.D. Evaluative Test, Mathematics part 1.  I am terrible with word problems.<BR>\n" );
document.write( "Ben scored 7 more points than Jack in a basketball game.  Paul scored 2 points less than Jack in the same game.  If the three boys scored a total of 38 points, how many points did Jack score? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41753 by </B><A HREF=/tutors/aboutme.mpl?userid=mszlmb><B>mszlmb(115)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mszlmb><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=mszlmb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=41753\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ben is B Jack is J Paul is P.<br>\r<BR>\n" );
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document.write( "\"Ben scored 7 more points than Jack in a basketball game.\"<BR>\n" );
document.write( "B=J+7<br>\r<BR>\n" );
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document.write( "\"Paul scored 2 points less than jack in the same game.\"<BR>\n" );
document.write( "P=J-2<br>\r<BR>\n" );
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document.write( "\"If the three boys scored a total of 38 points..\"<BR>\n" );
document.write( "P+J+B=38<br>\r<BR>\n" );
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document.write( "There, we have the equations we need.  Take the second:<BR>\n" );
document.write( "P-2=J and do plus 2 to both sides, it yields p=J+2.<br>\r<BR>\n" );
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document.write( "Since we know that <font color=green>B</font> is <font color=green>J+7</font> and <font color=blue>P</font> is <font color=blue>J-2</font>, we can replace <font color=green>B</font> and <font color=blue>P</font> in equation 3 with (<font color=green>J+7</font>) and (<font color=blue>J-2</font>), respectively.<br>\r<BR>\n" );
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document.write( "Equation 3 yields <BR>\n" );
document.write( "<font color=blue>P</font>+<font color=green>B</font>+J=38<br>\r<BR>\n" );
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document.write( "After replacement, it yields:<BR>\n" );
document.write( "(<font color=blue>J-2</font>)+(<font color=green>J+7</font>)+J=38  which is equivalent to<BR>\n" );
document.write( "<font color=blue>J-2</font>+<font color=green>J+7</font>+J=38  Combine like terms:<BR>\n" );
document.write( "3J+5=38  now do minus 5 to both sides<BR>\n" );
document.write( "3J=33  divide all by 3<BR>\n" );
document.write( "J=11<br>\r<BR>\n" );
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document.write( "And the rest is just substitution; using the first equation:<BR>\n" );
document.write( "B=J+7  since J=11, substitute:<BR>\n" );
document.write( "B=11+7=18  And thus Ben scored 18 points.<br>\r<BR>\n" );
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document.write( "Now do the same with the second:<BR>\n" );
document.write( "P=J-2  since J=11<BR>\n" );
document.write( "P=11-2=9  And thus Paul scored nine points.<br>\r<BR>\n" );
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document.write( "Thence Jack scored 11, Ben scored 18, and Paul scored 9.<br><center><font color=orange><strong><b>Doublecheck!</b></strong></font></center><hr color=blue width=110><br>\r<BR>\n" );
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document.write( "\"Ben scored 7 more points than Jack in a basketball game.\"<BR>\n" );
document.write( "18 is 7 more than 11.<br>\r<BR>\n" );
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document.write( "\"Paul scored 2 points less than Jack in the same game.\"<BR>\n" );
document.write( "9 is 2 less than 11.<br>\r<BR>\n" );
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document.write( "\"If the three boys scored a total of 38 points..\"<BR>\n" );
document.write( "11+18+9=38.<br>\r<BR>\n" );
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document.write( "We're good!<br><br><br>\r<BR>\n" );
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document.write( "Questions or else im or email.<font color=pink><b><sub><tt><PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"> </SPAN>\n" );
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