document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1134406>Question 1134406</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man bought some chickens for ₦60. If he had obtained 5 more for the same money, they would have cost ₦2 less each. How chickens did he buy? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #751787 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=751787\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = number of chickens.<BR>\n" );
document.write( "y = price for each chicken.\r<BR>\n" );
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document.write( "your two equation that need to be solved simultaneously are:\r<BR>\n" );
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document.write( "x * y = 60<BR>\n" );
document.write( "(x+5) * (y-2) = 60\r<BR>\n" );
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document.write( "in the first equation, you buy x chickens at a price of y each for a total expenditure of 60 nigerian naira.\r<BR>\n" );
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document.write( "in the second equation, you buy x + 5 chickens at a price of y - 2 each for a total expenditure of 60 nigerian naira.\r<BR>\n" );
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document.write( "in the first equation, solve for y to get y = 60/x.\r<BR>\n" );
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document.write( "in the second equation, replace y with 60/x to get:\r<BR>\n" );
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document.write( "(x+5)*(y-2) = 60 becomes (x+5)*(60/x-2) = 60\r<BR>\n" );
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document.write( "multiply both sides of this equation by x to get:\r<BR>\n" );
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document.write( "(x+5)*(60-2x) = 60x\r<BR>\n" );
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document.write( "simplify this to get:\r<BR>\n" );
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document.write( "60x-2x^2+300-10x = 60x\r<BR>\n" );
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document.write( "subtract 60x from both sides of this equation to get:\r<BR>\n" );
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document.write( "-2x^2+300-10x = 0\r<BR>\n" );
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document.write( "divide both sides of this equation by 2 to get:\r<BR>\n" );
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document.write( "-x^2+150-5x = 0\r<BR>\n" );
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document.write( "multiply both sides of this equation by -1 and arrange the terms in descending order of degree to get:\r<BR>\n" );
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document.write( "x^2+5x-150 = 0\r<BR>\n" );
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document.write( "factor this quadratic equation to get x = 10 or x = -15.\r<BR>\n" );
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document.write( "x can't be negative, so it has to be 10.\r<BR>\n" );
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document.write( "when x = 10, x*y=60 becomes 10*y=60 which gets you y = 6\r<BR>\n" );
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document.write( "you have x = 10 and y = 6\r<BR>\n" );
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document.write( "(x+5)*(y-2) becomes 15*4=60\r<BR>\n" );
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document.write( "looks like the solution is good.\r<BR>\n" );
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document.write( "he can buy 10 chickens at 6 each for a total of 60 nigerian naira or he can buy 15 chickens at 4 each for a total of 60 nigerian naira.\r<BR>\n" );
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document.write( "you could also have solved this graphically.\r<BR>\n" );
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document.write( "you would graph both equations of x*y=60 and (x+5)*(y-2)=60\r<BR>\n" );
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document.write( "the intersection of the two graphs that gives you a positive value for x and y is your solution.\r<BR>\n" );
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document.write( "that solution tells you that x = 10 and y = 6.\r<BR>\n" );
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document.write( "the graph is shown below.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2019/020905.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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