document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=347475>Question 347475</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man made a profit of P 290 by selling 8 cows and 14 calves at a gain of 25% of what they cost him. Had he sold 14 cows and 8 calves instead at the same percentage of profit, he would have gained P400. Find the original cost of each cow and each calf? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #248560 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=248560\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let X = Cost of Cows\r<BR>\n" );
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document.write( "Let Y= Cost of Claves\r<BR>\n" );
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document.write( "=> 1/4 ( 8X + 14Y ) = 290\r<BR>\n" );
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document.write( "=> 8X + 14Y = 1160 ---------- A\r<BR>\n" );
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document.write( "=> 1/4 ( 14X + 8Y ) = 400\r<BR>\n" );
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document.write( "=> 14X + 8Y = 1600 ----------- B\r<BR>\n" );
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document.write( "=> Now try to eliminate one of the unknow values by using common factors\r<BR>\n" );
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document.write( "=> Multiply A by 4 \r<BR>\n" );
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document.write( "=> 4 (8X + 14Y = 4 (1160 ) \r<BR>\n" );
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document.write( "=> 32X + 56Y = 4640 --------- C\r<BR>\n" );
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document.write( "=> Multiply B by 7\r<BR>\n" );
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document.write( "=> 7 (14X + 8Y) = 7 (1600) \r<BR>\n" );
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document.write( "=> 98X + 56Y = 11200 ------- D\r<BR>\n" );
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document.write( "=> D - C\r<BR>\n" );
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document.write( "=> ( 98X + 56Y ) - ( 32X + 56Y ) = 11200 - 4640\r<BR>\n" );
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document.write( "=> 66X = 6560\r<BR>\n" );
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document.write( "=> X = 99.393939......\r<BR>\n" );
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document.write( "=> X = 99.40\r<BR>\n" );
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document.write( "=> Sub. X = 99.40 into A or any equations from above\r<BR>\n" );
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document.write( "=> 8X + 14Y = 1160 \r<BR>\n" );
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document.write( "=> 8 (99.40) + 14Y = 1160\r<BR>\n" );
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document.write( "=> 795.20 + 14Y = 1160\r<BR>\n" );
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document.write( "=> 14Y = 1160 - 795.20\r<BR>\n" );
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document.write( "=> 14Y = 364.80\r<BR>\n" );
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document.write( "=> Y = 364.8 / 14\r<BR>\n" );
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document.write( "=> Y = 26.05714...\r<BR>\n" );
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document.write( "=> Y = 26.06\r<BR>\n" );
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document.write( "Answer: Original Cost for Cows $99.40 each, $26.06 for Calves each.<BR>\n" );
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