document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119148>Question 1119148</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On a certain mcq test 5 points are awarded for each correct answer and 4 points are deducted for each incorrect or unanswered question. Zakia received a total score of 10 points on the test has more than 100 questions how many questions are on the test?<BR>\n" );
document.write( "I.110 II.114 III. 119<BR>\n" );
document.write( "A) II<BR>\n" );
document.write( "B) I,II,III<BR>\n" );
document.write( "C) I,II<BR>\n" );
document.write( "D) I </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #734615 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=734615\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Let x be the number of correct answers and y the number of incorrect answers.  Then<br><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By+=+n ALIGN=MIDDLE  ALT=\"x%2By+=+n\"   DISABLED_style= \"max-width:90%; height:auto;\" > where n is the total number of questions; the problem asks us which of the numbers 110, 114, or 119 could be the value of n<br><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x-4y+=+10 ALIGN=MIDDLE  ALT=\"5x-4y+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >  her score, at 5 points for each correct answer and -4 points for each incorrect answer, was 10<br><BR>\n" );
document.write( "x and y have to be whole numbers.  So solve the pair of equations for one of the variables and determine which values of n will yield whole numbers for that variable.<br.<BR>\n" );
document.write( "Multiply the first equation by 4 and add the two equations, eliminating y:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B4y=4n ALIGN=MIDDLE  ALT=\"4x%2B4y=4n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x-4y=10 ALIGN=MIDDLE  ALT=\"5x-4y=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x+=+4n%2B10 ALIGN=MIDDLE  ALT=\"9x+=+4n%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Now substitute each of the three answer choices for n and see which of them yield whole numbers for x:<BR>\n" );
document.write( "9x = 4(110)+10 = 450  -->  yes; x = 50<BR>\n" );
document.write( "9x = 4(114)+10 = 466  -->  no<BR>\n" );
document.write( "9x = 4(119)+10 = 486  -->  yes; x = 54<br><BR>\n" );
document.write( "Both 110 and 119 could be the total number of questions on the test.<br><BR>\n" );
document.write( "So the question as you show it is flawed, because  \"I, III\" is not one of the answer choices. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );