SOLUTION: Jack and David are both waiters at the same restaurant. Jack's compensation is $100 per week in salary plus 60% of all the tips he receives. David's compensation is $200 per week i

Question 629279: Jack and David are both waiters at the same restaurant. Jack's compensation is $100 per week in salary plus 60% of all the tips he receives. David's compensation is $200 per week in salary plus 40% of his tips. If they both receive the same amount of tips and the same total compensation for a given week, what is that compensation, in dollars?
please include explanations!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
let = the amount that both received in tips
Let = the total weekly compensation for both
given:
------
Jack's equation:
(1)
David's equation:
(2)
------------------
I can substitute (1) into (2)

Substitute this into either (1) or (2)
(1)
(1)
(1)
The total compensation for both on that week was $400
check:
(2)
(2)
(2)
(2)
(2)
OK
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