document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184363>Question 1184363</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A group of ten friends purchased tickets to the Miami Dolphins game at a group discount of 20%.Each person paid $55 for each ticket. How much did one friend save by using the group discount?<BR>\n" );
document.write( "A. $5.50<BR>\n" );
document.write( "B. $11.00<BR>\n" );
document.write( "C. $13.20<BR>\n" );
document.write( "D. $13.75 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814925 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13215)</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=814925\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A 20% discount means they paid 80% of the usual price, or 4/5 of the usual price.<br><BR>\n" );
document.write( "So the usual price was 5/4 of what they paid.<br><BR>\n" );
document.write( "So the amount each one saved is the difference between 5/4 of what they paid and what they paid; that difference is 1/4 of what they paid.<br><BR>\n" );
document.write( "1/4 of what each one paid is $13.75.  Answer D.<br><BR>\n" );
document.write( "If the informal reasoning is too hard to follow, here is the same solution using formal algebra.<br><BR>\n" );
document.write( "The discounted ticket price was $55.<br><BR>\n" );
document.write( "The discounted price is 80%, or 4/5, of the usual price.  If x is the usual price, then<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=55+=+%284%2F5%29x ALIGN=MIDDLE  ALT=\"55+=+%284%2F5%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+55%2F%284%2F5%29+=+55%2A%285%2F4%29 ALIGN=MIDDLE  ALT=\"x+=+55%2F%284%2F5%29+=+55%2A%285%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The amount each friend saved using the group discount is the difference between the usual price and the discounted price, which is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F4%2955-55+=+%281%2F4%2955+=+55%2F4+=+13.75 ALIGN=MIDDLE  ALT=\"%285%2F4%2955-55+=+%281%2F4%2955+=+55%2F4+=+13.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );