SOLUTION: A restaurant with 23 employees. The number of waiters is twice the number of managers and there are three more chefs than managers. Find the number of waiters, managers and chefs

Question 952361: A restaurant with 23 employees. The number of waiters is twice the number of managers and there are three more chefs than managers. Find the number of waiters, managers and chefs.
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
waiters :w
managers: m
chefs: c
w+m+c = 23, and w = 2m, and c = m+3 So we can rewrite our initial equation, substituting like this:
m + 2m + m + 3 = 23 add m's on left and subtract 3 on both sides:
4m = 20
m = 20/4 = 5
So, we have:
m = 5 managers
2m = 2(5) = 10 waiters
m + 3 = 5 + 3 = 8 chefs
Proof: 5 + 10 + 8 = 23 We've got the right answer.

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