document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214345>Question 214345</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can you help me solve this problem sir....<BR>\n" );
document.write( "1.) In order to encourage his son to study mathematics, a father agrees to pay his boy 50 centavos for every problem correctly solved, and to fine him 25 centavos for each incorrect solution.At the end of 30 problems neither owed anything to the other.How many did the boy solved correctly?\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 #161946 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=161946\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the number of problems solved correctly and y = the number of problems solved incorrectly.<BR>\n" );
document.write( "We can express the problem algebraically in the two equations as:<BR>\n" );
document.write( "1). <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50x-25y+=+0 ALIGN=MIDDLE  ALT=\"50x-25y+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \"...50 centavos for each problem correctly solved (x) and ...fine him 25 centavos for each incorrect solution (y).\"<BR>\n" );
document.write( "2). <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By+=+30 ALIGN=MIDDLE  ALT=\"x%2By+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" > The number of problems = 30. Rearrange this as: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+30-y ALIGN=MIDDLE  ALT=\"x+=+30-y\"   DISABLED_style= \"max-width:90%; height:auto;\" > and substitute into the first equation.<BR>\n" );
document.write( "1a). <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2830-y%29-25y+=+0 ALIGN=MIDDLE  ALT=\"50%2830-y%29-25y+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "1b). <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1500-50y-25y+=+0 ALIGN=MIDDLE  ALT=\"1500-50y-25y+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1c). <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1500-75y+=+0 ALIGN=MIDDLE  ALT=\"1500-75y+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 75y to both sides.<BR>\n" );
document.write( "1d). <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1500+=+75y ALIGN=MIDDLE  ALT=\"1500+=+75y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 75.<BR>\n" );
document.write( "1e). <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20+=+y ALIGN=MIDDLE  ALT=\"20+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" > and:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+30-20 ALIGN=MIDDLE  ALT=\"x+=+30-20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+10 ALIGN=MIDDLE  ALT=\"x+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The boy solved 10 of the problems correctly. </SPAN>\n" );
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