document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1185841>Question 1185841</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "Jerry wendy and Alice were given some tickets to sell. Each one sold for $5. Jerry sold 3/7 of the tickets. Wendy sold 1/3 of what Alice sold. If wendy sold 60 fewer tickets than Jerry, how much money did they collect.\r<BR>\n" );
document.write( "\n" );
document.write( "My son had difficulty with this question since we are not told what fraction of the tickets Alice sold<BR>\n" );
document.write( "Thanks <BR>\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 #816712 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</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=816712\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The response from the other tutor uses x for the total number of tickets, resulting in a rather complicated equation that needs to be solved to find the solution.<br><BR>\n" );
document.write( "That's fine; but taking a bit of time to figure out a way to set up the problem that make solving it easier is well worthwhile.<br><BR>\n" );
document.write( "Given that Jerry sold 3/7 of the tickets, here is how I would set up and solve the problem.<br><BR>\n" );
document.write( "Let the total number of tickets sold be 7x<BR>\n" );
document.write( "Then the number Jerry sold was 3x<BR>\n" );
document.write( "So the total that Wendy and Alice sold was 7x-3x=4x<br><BR>\n" );
document.write( "Then, since Wendy sold 1/3 as many as Alice, and together they sold 4/7 of them...<br><BR>\n" );
document.write( "3x = number Alice sold<BR>\n" );
document.write( "x = number Wendy sold<br><BR>\n" );
document.write( "So the number Jerry sold was 3x, and the number Wendy sold was x, and the difference between those two numbers was 60:<br><BR>\n" );
document.write( "3x-x=60<BR>\n" );
document.write( "2x=60<BR>\n" );
document.write( "x=60/2=30<br><BR>\n" );
document.write( "Numbers of tickets sold:<BR>\n" );
document.write( "Jerry: 3x=90<BR>\n" );
document.write( "Alice: 3x=90<BR>\n" );
document.write( "Wendy: x=30<BR>\n" );
document.write( "total: 210<br><BR>\n" );
document.write( "The tickets cost $5 each; how much money did they collect?<br><BR>\n" );
document.write( "ANSWER: 210($5) = $1050<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );