SOLUTION: A large tire company has 225 employees. There are 4 times as many mechanics as supervisors, and 15 more supervisors than accountants. How many mechanics, supervisors, and accountan

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Question 1026896: A large tire company has 225 employees. There are 4 times as many mechanics as supervisors, and 15 more supervisors than accountants. How many mechanics, supervisors, and accountants work for the company?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Lets' call the number of accountants, x.
Then the number of supervisors is x + 15.
Then the number of mechanics is 4(x+15).
Now we add them altogether and get
x + x+15 + 4(x+15) = 225
Now solve for x.
2x + 15 + 4x + 60 = 225
6x + 75 = 225
6x = 150
x = 25 accountants
x+15 = 40 supervisors
4(x+15) = 160 mechanics