document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=327016>Question 327016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If you multiply the sale price per box times the number of boxes, that's your total price. But remember, these boxes are on sale. The regular price per box is the same as the number of boxes. Your total price will be 75 times the amount you are saving on each box. When you add the regular price for each box to my sale price for each box, the result is 7 time the amount you are saving on each box. How many boxes are there, and what sale price for each box?<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 #234604 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=234604\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let n = no. boxes<BR>\n" );
document.write( "let s = sale price per box<BR>\n" );
document.write( "let r = reg price per box<BR>\n" );
document.write( ":<BR>\n" );
document.write( "If you multiply the sale price per box times the number of boxes, that's your total price.<BR>\n" );
document.write( "ns = total price<BR>\n" );
document.write( ":<BR>\n" );
document.write( "But remember, these boxes are on sale. The regular price per box is the same as the number of boxes.<BR>\n" );
document.write( "n = r<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Your total price will be 75 times the amount you are saving on each box.<BR>\n" );
document.write( "ns = 75(r-s)<BR>\n" );
document.write( "replace n with r<BR>\n" );
document.write( "rs = 75r - 75s<BR>\n" );
document.write( ":<BR>\n" );
document.write( " When you add the regular price for each box to my sale price for each box, the result is 7 time the amount you are saving on each box.<BR>\n" );
document.write( "r + s = 7(r-s) <BR>\n" );
document.write( "r + s = 7r - 7s<BR>\n" );
document.write( "s + 7s = 7r - r<BR>\n" );
document.write( "8s = 6r<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F8 ALIGN=MIDDLE  ALT=\"6%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >r<BR>\n" );
document.write( "s = .75r<BR>\n" );
document.write( ":<BR>\n" );
document.write( "In equation; rs = 75r - 75s, replace s with .75r<BR>\n" );
document.write( ".75r*r = 75r - 75(.75r)<BR>\n" );
document.write( ".75r^2 = 75r - 56.25r<BR>\n" );
document.write( "Divide thru by r<BR>\n" );
document.write( ".75r = 75 - 56.25<BR>\n" );
document.write( ".75r = 18.75<BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18.75%2F.75 ALIGN=MIDDLE  ALT=\"18.75%2F.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = 25<BR>\n" );
document.write( "then<BR>\n" );
document.write( "$25 = reg price and 25 is the no. of units<BR>\n" );
document.write( "Find the sale price<BR>\n" );
document.write( "s = .75r<BR>\n" );
document.write( "s = .75(25)<BR>\n" );
document.write( "s = $18.75 is the sale price<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution in the statement:<BR>\n" );
document.write( "\"Your total price will be 75 times the amount you are saving on each box.\"<BR>\n" );
document.write( "25(18.75) = 75(25-18.75)<BR>\n" );
document.write( "468.75 = 75*6.25<BR>\n" );
document.write( "468.75 = 468.75, confirms our solution of<BR>\n" );
document.write( "reg price: $25<BR>\n" );
document.write( "no. units: 25 ea<BR>\n" );
document.write( "sale price: $18,75 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );