SOLUTION: Problem: In a group of 60 workers the average salary is $80 a day per worker. If some of the workers earn $75 a day and all the rest earn $100 a day, how many workers earn $75 a da

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Question 812206: Problem: In a group of 60 workers the average salary is $80 a day per worker. If some of the workers earn $75 a day and all the rest earn $100 a day, how many workers earn $75 a day?
Note: I have no idea how to start off! Please help me. Thank you.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
In a group of 60 workers the average salary is $80 a day per worker.
If some of the workers earn $75 a day and all the rest earn $100 a day,
how many workers earn $75 a day?
:
Let x = no. of $75 per days workers
Since there are a total of 60 workers, we know that:
(60-x) = no. of $100 per day workers
:
%28%2875x+%2B+100%2860-x%29%29%29%2F60 = 80
multiply both sides by 60
75x + 6000 - 100x = 4800
75x - 100x = 4800 - 6000
-25x = -1200
x = -1200/-25
x = 48 workers earn $75 a day