document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164856>Question 164856</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A certain number of boys bought a bicycle for P2000.00. One boy later withdrew and sold his share to the other boys for P420.00. The share of each boy of this additional cost turned out to be P190 less than what each originally contributed many boys was there originally?\r<BR>\n" );
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document.write( "please answer this one,QUICKLY..thanks..<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 #121535 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=121535\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the number of boys be b.<BR>\n" );
document.write( "Original share=2000/b<BR>\n" );
document.write( "Share of additional cost=420/(b-1) <BR>\n" );
document.write( "2000/b - 420/(b-1) = 190<BR>\n" );
document.write( "2000(b-1)-420b=190(b^2-b) multiply each side by the LCM.<BR>\n" );
document.write( "2000b-2000-420b=190b^2-190b<BR>\n" );
document.write( "200b-200-42b=19b^2-19b divide each side by 10.<BR>\n" );
document.write( "19b^2-177b+200=0 Subtract the left side from the right.<BR>\n" );
document.write( "b=8<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=solve_quadratic_equation.solver>SOLVE quadratic equation (work shown, graph etc)</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Quadratic equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc=0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > (in our case <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19x%5E2%2B-177x%2B200+=+0 ALIGN=MIDDLE  ALT=\"19x%5E2%2B-177x%2B200+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >) has the following solutons:<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca ALIGN=MIDDLE  ALT=\"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  For these solutions to exist, the <U>discriminant</U> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac ALIGN=MIDDLE  ALT=\"b%5E2-4ac\"   DISABLED_style= \"max-width:90%; height:auto;\" > should not be a negative number.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  First, we need to compute the discriminant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac ALIGN=MIDDLE  ALT=\"b%5E2-4ac\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac=%28-177%29%5E2-4%2A19%2A200=16129 ALIGN=MIDDLE  ALT=\"b%5E2-4ac=%28-177%29%5E2-4%2A19%2A200=16129\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Discriminant d=16129 is greater than zero. That means that there are two solutions: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5B12%5D+=+%28--177%2B-sqrt%28+16129+%29%29%2F2%5Ca ALIGN=MIDDLE  ALT=\"+x%5B12%5D+=+%28--177%2B-sqrt%28+16129+%29%29%2F2%5Ca\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+=+%28-%28-177%29%2Bsqrt%28+16129+%29%29%2F2%5C19+=+8 ALIGN=MIDDLE  ALT=\"x%5B1%5D+=+%28-%28-177%29%2Bsqrt%28+16129+%29%29%2F2%5C19+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D+=+%28-%28-177%29-sqrt%28+16129+%29%29%2F2%5C19+=+1.31578947368421 ALIGN=MIDDLE  ALT=\"x%5B2%5D+=+%28-%28-177%29-sqrt%28+16129+%29%29%2F2%5C19+=+1.31578947368421\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "    Quadratic expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19x%5E2%2B-177x%2B200 ALIGN=MIDDLE  ALT=\"19x%5E2%2B-177x%2B200\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be factored:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19x%5E2%2B-177x%2B200+=+%28x-8%29%2A%28x-1.31578947368421%29 ALIGN=MIDDLE  ALT=\"19x%5E2%2B-177x%2B200+=+%28x-8%29%2A%28x-1.31578947368421%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  Again, the answer is: 8, 1.31578947368421.\n" );
document.write( "Here's your graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+19%2Ax%5E2%2B-177%2Ax%2B200+%29 ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+19%2Ax%5E2%2B-177%2Ax%2B200+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ></TD></TR>\n" );
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