document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74953>Question 74953</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Elizabeth has a collection of bugs. all of them are either fruit flies or tarantulas. she has a total of 75 bugs.  altogether they have a total of 562 legs. how many fruit flies and tarantulas does she have? justify your answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53925 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=53925\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let x=number of fruit flies---they have 6 legs<BR>\n" );
document.write( "And y=number of tarantulas-----they have 8 legs\r<BR>\n" );
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document.write( "Now we are told that:\r<BR>\n" );
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document.write( "x+y=75------------------------------eq 1 (subtract y from both sides)<BR>\n" );
document.write( "x=75-y\r<BR>\n" );
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document.write( "We are also told that:\r<BR>\n" );
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document.write( "6x+8y=562-----------------------------eq 2\r<BR>\n" );
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document.write( "We will solve by substitution.  Substitute x=75-y from eq 1 into eq 2\r<BR>\n" );
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document.write( "6(75-y)+8y=562  get rid of parens<BR>\n" );
document.write( "450-6y+8y=562 subtract 450 from both sides\r<BR>\n" );
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document.write( "450-450-6y+8y=562-450  collect like terms<BR>\n" );
document.write( "2y=112  divide both sides by 2\r<BR>\n" );
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document.write( "y=56-------------------------------------------# of tarantulas\r<BR>\n" );
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document.write( "substitute y=56 into eq 1\r<BR>\n" );
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document.write( "x+56=75  subtract 56 from both sides<BR>\n" );
document.write( "x=75-56<BR>\n" );
document.write( "x=19-----------------------------------------# fruit flies\r<BR>\n" );
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document.write( "ck\r<BR>\n" );
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document.write( "19*6+56*8=562<BR>\n" );
document.write( "114+448=562<BR>\n" );
document.write( "562=562\r<BR>\n" );
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document.write( "Hope this helps -----ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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