document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163453>Question 163453</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me solve this problem: A repairman purchased some washing machine motors for a total of $224. When the unit cost decreased by $4, he was able to buy one extra motor for the same total price. How many motors did he buy originally?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120415 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=120415\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let n=number of motors & u=unit cost<BR>\n" );
document.write( "A) n*u=224<BR>\n" );
document.write( "B) (n+1)*(u-4)=224<BR>\n" );
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document.write( "A) u=224/n<BR>\n" );
document.write( "B) <BR>\n" );
document.write( "(n+1)*(224/n -4)=224<BR>\n" );
document.write( "(n+1)((224-4n)/n)=224 LCD of 224/n -4<BR>\n" );
document.write( "(n+1)(224-4n)=224n multiply each side by n to eliminate the fraction.<BR>\n" );
document.write( "-4n^2+220n+224=224n<BR>\n" );
document.write( "n^2-55n-56=-56n divide each side by -4<BR>\n" );
document.write( "n^2+n-56=0<BR>\n" );
document.write( "(n+8)(n-7)=0<BR>\n" );
document.write( "n=7 motors at $32<BR>\n" );
document.write( "8 motors at $28<BR>\n" );
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document.write( "Ed<BR>\n" );
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