document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61574>Question 61574</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Your teacher is giving you a test worth 100 points and containing 40 questions. There are 2-point and 4-point questions on the test. How many of each type of questions are on 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 #42427 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=42427\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the number of 2-point questions, then (40-x) = the number of 4-point questions. You can write the equation to solve this:<BR>\n" );
document.write( "2(x) + 4(40-x) = 100 Simplify and solve for x.<BR>\n" );
document.write( "2x + 160 - 4x = 100<BR>\n" );
document.write( "-2x + 160 = 100<BR>\n" );
document.write( "-2x = -60<BR>\n" );
document.write( "x = 30 and (40-x) = 10\r<BR>\n" );
document.write( "\n" );
document.write( "There are thirty 2-point questions and ten 4-point questions. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );