document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186897>Question 1186897</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Another difficult question, please help.<BR>\n" );
document.write( "A factory produced some muffins. Half of the muffins were chocolate. The<BR>\n" );
document.write( "rest of the muffins were vanilla and blueberry in the ratio of 5:7. There were<BR>\n" );
document.write( "1 800 more chocolate muffins than blueberry muffins. What was the total number<BR>\n" );
document.write( "of muffins produced by the factory? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #817860 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</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=817860\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "\"The rest of the muffins were vanilla and blueberry in the ratio of 5:7\"<br><BR>\n" );
document.write( "Given that ratio...<br><BR>\n" );
document.write( "Let 5x = # of vanilla muffins<BR>\n" );
document.write( "Let 7x = # of blueberry muffins<br><BR>\n" );
document.write( "(NOTE: That is almost always a good way to start on a problem where a ratio like 5:7 is given.)<br><BR>\n" );
document.write( "\"Half of the muffins were chocolate.\"<br><BR>\n" );
document.write( "That means the number of chocolate muffins is equal to the total number of vanilla and blueberry muffins.  So...<br><BR>\n" );
document.write( "Let 12x = # of chocolate muffins<br><BR>\n" );
document.write( "\"There were 1800 more chocolate muffins than blueberry muffins.\"<br><BR>\n" );
document.write( "Change to wording so it reads exactly like an algebraic equation:<br><BR>\n" );
document.write( "The number of chocolate muffins was 1800 more than the number of blueberry muffins.<br><BR>\n" );
document.write( "12x = 7x+1800<br><BR>\n" );
document.write( "Solve for x using basic algebra.  Then the answer (total number of muffins) is 24x.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );