document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=446471>Question 446471</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cow costs seven times as much as a goat,for 84000,I can buy 18 more goats than cows.How much does a goat cost? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #307644 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=307644\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A cow costs seven times as much as a goat,for 84000,<BR>\n" );
document.write( "I can buy 18 more goats than cows.<BR>\n" );
document.write( "How much does a goat cost?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = cost of a goat (g)<BR>\n" );
document.write( "then<BR>\n" );
document.write( "7x = cost of a cow (c)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "g = no. of goats<BR>\n" );
document.write( "c = no. or cows<BR>\n" );
document.write( "\"I can buy 18 more goats than cows\"<BR>\n" );
document.write( "g - c = 18<BR>\n" );
document.write( "g = (c+18)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Cost equation<BR>\n" );
document.write( "xg + 7xc = 84000<BR>\n" );
document.write( "Replace g with (c+18)<BR>\n" );
document.write( "x(c+18) + 7xc = 84000<BR>\n" );
document.write( "xc + 18x + 7xc = 84000<BR>\n" );
document.write( "18x + 8xc = 84000<BR>\n" );
document.write( "x(18 + 8c) 84000<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=84000%2F%28%2818%2B8c%29%29 ALIGN=MIDDLE  ALT=\"84000%2F%28%2818%2B8c%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From this equation we can see that there are many solutions, for example:<BR>\n" );
document.write( "Using integer values, let c = 24 cows, find the cost of one goat (x)<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=84000%2F%28%2818%2B8%2824%29%29%29 ALIGN=MIDDLE  ALT=\"84000%2F%28%2818%2B8%2824%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=84000%2F%28%2818%2B192%29%29 ALIGN=MIDDLE  ALT=\"84000%2F%28%2818%2B192%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=84000%2F210%29 ALIGN=MIDDLE  ALT=\"84000%2F210%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = $400 for one goat<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this: <BR>\n" );
document.write( "24 + 18 = 42 goats, and 7(400) = $2800 for one cow<BR>\n" );
document.write( "42(400) + 24(2800) = <BR>\n" );
document.write( "16800 + 67200 = $84000<BR>\n" );
document.write( ":<BR>\n" );
document.write( "another integer solution: 3 cows, yield a cost of $2000 for one goat<BR>\n" );
document.write( "You can confirm this solution yourself<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );