document.write( "Question 496641: chris earns four times vesna's wage and vensna earns $17 more than dawn. How many dollars does chris earn if their combined wages are $163 \n" ); document.write( "

Algebra.Com's Answer #336508 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"c\"$ = Chris's wage
\n" ); document.write( "Let $\"v\"$ = Vesna's wage
\n" ); document.write( "Let $\"d\"$ = Dawn's wage
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+c+=+4v+\"$
\n" ); document.write( "(2) $\"+v+=+d+%2B+17+\"$
\n" ); document.write( "(3) $\"+c+%2B+v+%2B+d+=+163+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "This is 3 equations with 3 unknowns,
\n" ); document.write( "so it's solvable
\n" ); document.write( "(2) $\"v+=+d+%2B+17+\"$
\n" ); document.write( "(2) $\"d+=+v+-+17+\"$
\n" ); document.write( "Substitute (1) and (2) into (3)
\n" ); document.write( "(3) $\"+4v+%2B+v+%2B+v+-+17+=+163+\"$
\n" ); document.write( "(3) $\"+6v+=+163+%2B+17+\"$
\n" ); document.write( "(3) $\"+6v+=+180+\"$
\n" ); document.write( "(3) $\"+v+=+30+\"$
\n" ); document.write( "and, from (1),
\n" ); document.write( "(1) $\"+c+=+4%2A30+\"$
\n" ); document.write( "(1) $\"+c+=+120+\"$
\n" ); document.write( "Chris earns $120
\n" ); document.write( "--------------
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+d+=+v+-+17+\"$
\n" ); document.write( "(2) $\"+d+=+30+-+17+\"$
\n" ); document.write( "(2) $\"+d+=+13+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+c+%2B+v+%2B+d+=+163+\"$
\n" ); document.write( "(3) $\"+120+%2B+30+%2B+13+=+163+\"$
\n" ); document.write( "(3) $\"+163+=+163+\"$
\n" ); document.write( "OK \n" ); document.write( "

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