document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251874>Question 251874</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A farmer had a herd of 24 animals, some sheep and some goats. He sold the sheep<BR>\n" );
document.write( "for $140 each and the rest of the herd, the goats for $100 each. If he had sold the whole herd at the uniform price of $120 per animal, he would have gained 360<BR>\n" );
document.write( "more dollars. How many goats did he sell? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183562 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=183562\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A farmer had a herd of 24 animals, some sheep and some goats. <BR>\n" );
document.write( "Whole herd selling income: 24*120 = $2880<BR>\n" );
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document.write( "He sold the sheep for $140 each and the rest of the herd, the goats for $100 each. If he had sold the whole herd at the uniform price of $120 per animal, he would have gained 360 more dollars. <BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "s + g =24<BR>\n" );
document.write( "140s + 100g = 2880-360<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "s = 24-g<BR>\n" );
document.write( "140s + 100g = 2520<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Substitute for \"s\" and solve for \"g\":<BR>\n" );
document.write( "140(24-g) + 100g = 2520<BR>\n" );
document.write( "140*24 - 140g + 100g = 2520<BR>\n" );
document.write( "-40g = -840<BR>\n" );
document.write( "g = 21 (# of goats)<BR>\n" );
document.write( "Since s = 24-g, s = 24-21 = 3 (# of sheep)<BR>\n" );
document.write( "==============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==============================================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );