document.write( "Question 1019851: Martians have two heads and five legs. There was a \"meet and greet\" party that had both Martians and Earthlings. At that party I counted 29 heads and 67 legs. How many Martians and Earthlings were at the party? \n" ); document.write( "

Algebra.Com's Answer #635777 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+m+\"$ = number of Martians
\n" ); document.write( "Let $\"+e+\"$ = number of Earthlings
\n" ); document.write( "----------------------------
\n" ); document.write( "Counting heads:
\n" ); document.write( "(1) $\"+1%2Ae+%2B+2m+=+29+\"$
\n" ); document.write( "Counting legs:
\n" ); document.write( "(2) $\"+2e+%2B+5m+=+67+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+2+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+2e+%2B+5m+=+67+\"$
\n" ); document.write( "(1) $\"+-2e+-+4m+=+-+58+\"$
\n" ); document.write( "----------------------
\n" ); document.write( " $\"+m+=+9+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+1%2Ae+%2B+2m+=+29+\"$
\n" ); document.write( "(1) $\"+1%2Ae+%2B+2%2A9+=+29+\"$
\n" ); document.write( "(1) $\"+e+=+29+-+18+\"$
\n" ); document.write( "(1) $\"+e+=+11+\"$
\n" ); document.write( "there are 11 Eathlings and 9 Martians
\n" ); document.write( "---------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+2e+%2B+5m+=+67+\"$
\n" ); document.write( "(2) $\"+2%2A11+%2B+5%2A9+=+67+\"$
\n" ); document.write( "(2) $\"+22+%2B+45+=+67+\"$
\n" ); document.write( "(2) $\"+67+=+67+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+1%2Ae+%2B+2m+=+29+\"$
\n" ); document.write( "(1) $\"+1%2A11+%2B+2%2A9+=+29+\"$
\n" ); document.write( "(1) $\"+11+%2B+18+=+29+\"$
\n" ); document.write( "(1) $\"+29+=+29+\"$
\n" ); document.write( "OK \n" ); document.write( "

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