document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=171461>Question 171461</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Your teacher is giving a test worth 150 points. There are 46 three and five point question on the test. How many of each question aron the test? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #126611 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=126611\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your teacher is giving a test worth 150 points. There are 46 three and five point question on the test. How many of each question aron the test?<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Quantity equation: T +  F = 46<BR>\n" );
document.write( "Point equation:   3T + 5F = 150<BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "Multiply thru 1st equation by 3:<BR>\n" );
document.write( "3T + 3F = 138<BR>\n" );
document.write( "3T + 5F = 150<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Subtract 1st from 2nd and solve for \"F\":<BR>\n" );
document.write( "2F = 12<BR>\n" );
document.write( "F = 6 (# of five point questions)<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Since T+F = 46, T= 40 (# of three point questions) <BR>\n" );
document.write( "=======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );