document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=572864>Question 572864</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Here is the word problem I am trying to write an equation for:\r<BR>\n" );
document.write( "\n" );
document.write( "\" Mike received 73%, 71%, 79% and 75% on his first four math tests.  What grade on his fifth test would allow him to make an average of at least 75%?  Assume the test scores are whole numbers.\"\r<BR>\n" );
document.write( "\n" );
document.write( "Here is what I have tried so far:\r<BR>\n" );
document.write( "\n" );
document.write( "Let X represent fifth test score\r<BR>\n" );
document.write( "\n" );
document.write( "(73 +71+79+75 + X)/5 = 75\r<BR>\n" );
document.write( "\n" );
document.write( "(298 + X)/5 = 75\r<BR>\n" );
document.write( "\n" );
document.write( "59.6 + 1/5X = 75\r<BR>\n" );
document.write( "\n" );
document.write( "X = (75 - 59.6)/5\r<BR>\n" );
document.write( "\n" );
document.write( "X = 3.08\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I know this is not correct but I am not sure what is wrong with my equation.  Any help showing me how to set up the right equation would really help me.  thanks\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #368538 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=368538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The sum of the scores of the 5 tests has to be 5 times the desired average.  5 times 75 is 375.  The sum of the first 4 scores is 298.  Subtract that from 375 to get 77.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You were actually on the right track:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{73\ +\ 71\ +\ 79\ +\ 75\ +\ x}{5}\ =\ 75\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "is correct.  At this point, I would have multiplied both sides by 5 to get rid of that pesky denominator, but there is really nothing wrong with your next step though.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{298\ +\ x}{5}\ =\ 75\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "is also correct, as is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 59.6\ +\ \frac{x}{5}\ =\ 75\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "and\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{x}{5}\ =\ 75\ -\ 59.6\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "But right here is where you made your error.  You were already dividing by 5 in the LHS, but then you chose to divide by 5 on the right (???).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ \neq\ \frac{75\ -\ 59.6}{5}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "what you wanted to do was multiply both sides by 5 to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ 5(75\ -\ 59.6)\ =\ 77\">\r<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<div  DISABLED_style= \"text-align:center\"><a  rel=nofollow HREF=\"http://outcampaign.org/\" target=\"_blank\"><IMG STYLE=\"max-width:80%;\" src=\"http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png\" border=\"0\" alt=\"The Out Campaign: Scarlet Letter of Atheism\" width=\"143\" height=\"122\" /></a></div><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );