document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=44343>Question 44343</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Carlos scored 15 more points than John in the basketball game. If the product of the two point totals is 154, how many points did each boy score? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #29273 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=29273\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let their totals be C and J.<BR>\n" );
document.write( "Then C = J + 15 and<BR>\n" );
document.write( "CJ = 154<BR>\n" );
document.write( "Now substituting we get<BR>\n" );
document.write( "J(J + 15) = 154<BR>\n" );
document.write( "J^2 + 15J = 154<BR>\n" );
document.write( "J^2 + 15J - 154 = 0<BR>\n" );
document.write( "(J + 22)(J - 7) = 0<BR>\n" );
document.write( "J = -22 or J = 7<BR>\n" );
document.write( "but since you can't score negative points,<BR>\n" );
document.write( "J = 7 and C = 22 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );