document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202547>Question 1202547</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Horses sold for $400 each and ponies for only $100.  Weir spent $4500 and bought 5 more horses than ponies.  How many horses did she buy? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837469 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13216)</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=837469\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "While a formal algebraic solution was probably wanted, note that you can get good mental exercise, and good problem-solving practice, by solving the problem informally using logical reasoning and simple mental arithmetic.<br><BR>\n" );
document.write( "In this problem, she bought 5 more horses than ponies.  Those 5 \"extra\" horses cost 5($400) = $2000.<br><BR>\n" );
document.write( "Beyond that, there were equal numbers of horses and ponies with a total cost of $4500-$2000 = $2500.<br><BR>\n" );
document.write( "The cost of one horse and one pony is $400+$100 = $500; to make the additional $2500 cost, the remaining number of horses and ponies must have been $2500/$500 = 5.<br><BR>\n" );
document.write( "So the number of ponies she bought was 5, and the number of horses she bought was 5+5 = 10.<br><BR>\n" );
document.write( "ANSWER: 10 horses (and 5 ponies)<br><BR>\n" );
document.write( "CHECK: 10($400)+5($100) = $4500<br><BR>\n" );
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