document.write( "Question 74954: Jamal has a collection of bugs. all of them are either ladybugs or spiders. he has a total of 27 bugs. altogether they have 194 legs. how many ladybugs and spiders does he have? justify you answer. \n" ); document.write( "
Algebra.Com's Answer #53933 by ptaylor(2198)\"\" \"About 
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\n" ); document.write( "Let x=number of ladybugs--------------------------ladybugs have 6 legs
\n" ); document.write( "And y=number of spiders------------------------spiders have 8 legs\r
\n" ); document.write( "\n" ); document.write( "Now we are told that(number of bugs):\r
\n" ); document.write( "\n" ); document.write( "x+y=27------------------------eq 1 (subtract y from both sides)
\n" ); document.write( "x=27-y\r
\n" ); document.write( "\n" ); document.write( "Now we are also told that(number of legs):
\n" ); document.write( "6x+8y=194-----------------------eq 2\r
\n" ); document.write( "\n" ); document.write( "We'll solve by substitution. Substitute x=27-y from eq 1 into eq 2\r
\n" ); document.write( "\n" ); document.write( "6(27-y)+8y=194 get rid of parens
\n" ); document.write( "162-6y+8y=194 subtract 162 from both sides\r
\n" ); document.write( "\n" ); document.write( "162-162-6y+8y=194-162 collect like terms
\n" ); document.write( "2y=32 divide both sides by 2\r
\n" ); document.write( "\n" ); document.write( "y=16-------------------------------------------# of spiders
\n" ); document.write( "substitute y=16 into eq 1 and we have:\r
\n" ); document.write( "\n" ); document.write( "x=27-16=11--------------------------------------# of ladybugs\r
\n" ); document.write( "\n" ); document.write( "CK\r
\n" ); document.write( "\n" ); document.write( "11*6+16*8=194
\n" ); document.write( "66+128=194
\n" ); document.write( "194=194\r
\n" ); document.write( "\n" ); document.write( "Hope this helps------ptaylor\r
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