SOLUTION: 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

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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
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let c = Chris's wage
Let v = Vesna's wage
Let d = Dawn's wage
given:
(1) +c+=+4v+
(2) +v+=+d+%2B+17+
(3) +c+%2B+v+%2B+d+=+163+
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This is 3 equations with 3 unknowns,
so it's solvable
(2) v+=+d+%2B+17+
(2) d+=+v+-+17+
Substitute (1) and (2) into (3)
(3) +4v+%2B+v+%2B+v+-+17+=+163+
(3) +6v+=+163+%2B+17+
(3) +6v+=+180+
(3) +v+=+30+
and, from (1),
(1) +c+=+4%2A30+
(1) +c+=+120+
Chris earns $120
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check answer:
(2) +d+=+v+-+17+
(2) +d+=+30+-+17+
(2) +d+=+13+
and
(3) +c+%2B+v+%2B+d+=+163+
(3) +120+%2B+30+%2B+13+=+163+
(3) +163+=+163+
OK