document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=253559>Question 253559</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 24 questions on a test. Each question is worth either 4 points or 5 points. The total is 100 points. \r<BR>\n" );
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document.write( "a. Write a system of equations to find the number of each type of question.<BR>\n" );
document.write( "b. Solve the system by substitution.<BR>\n" );
document.write( "How many questions of each type are on the test?<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 #185983 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=185983\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x+y=24 or x=24-y<BR>\n" );
document.write( "4x+5y=100<BR>\n" );
document.write( "Now replace x with (24-y) i the second equation & solve for y.<BR>\n" );
document.write( "4(24-y)+5y=100<BR>\n" );
document.write( "96-4y+5y=100<BR>\n" );
document.write( "y=100-96<BR>\n" );
document.write( "y=4 questions worth 5 points each.<BR>\n" );
document.write( "24-4=20 questions worth 4 points each.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "4*20+5*4=100<BR>\n" );
document.write( "80+20=100<BR>\n" );
document.write( "100=100 </SPAN>\n" );
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