document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127516>Question 1127516</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Styline Menswear ordered short-sleeve shirts for $23 each and long-sleeve shirts for $28.50 each from Tommy Hilfiger. If the total order amounted to $9,862.50 for 375 shirts, how many short-sleeve were ordered? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #743937 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=743937\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Using formal algebra....<br><BR>\n" );
document.write( "(1) x+y = 375  [the total number of shirts is 375]<BR>\n" );
document.write( "(2) 23x+28.50y = 9862.50  [the total price of the shirts is $9862.50]<br><BR>\n" );
document.write( "Solve by any method you want.  For me, the easiest is to multiply (1) by 23 and subtract from (2), giving an equation in y that I can solve.<br><BR>\n" );
document.write( "I'll let you finish the algebraic solution.<br><BR>\n" );
document.write( "Using logical reasoning, we can get the answer using basically the same calculations, but without the formal algebra.<br><BR>\n" );
document.write( "(1) If all 375 shirts cost $23 each, the total sales would be $8625.<BR>\n" );
document.write( "(2) The actual sales is $9862.05; the difference in the two totals is $9862.50-$8625 = $1237.50.<BR>\n" );
document.write( "(3) The number of more expensive shirts is that difference of $1237.50, divided by the difference in price between the two shirts, $5.50.<BR>\n" );
document.write( "(4) 1237.5/5.5 = 225<br><BR>\n" );
document.write( "ANSWER: 225 long sleeve shirts and 375-225 = 150 short sleeve shirts were sold. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );