SOLUTION: To celebrate a colleague's graduation, the "m" workers in an office agreed to contribute equally to a catered lunch that cost a total of "y" dollars. If "p" of the coworkers fail
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Question 466827: To celebrate a colleague's graduation, the "m" workers in an office agreed to contribute equally to a catered lunch that cost a total of "y" dollars. If "p" of the coworkers fail to contribute, what represents the additional amount, in dollars, that each of the remaining coworkers must contribute to pay for the lunch?
The answer is: (py)/ (m(m-p))
Can you please explain how they got this answer? Answer by ccs2011(207) (Show Source):
You can put this solution on YOUR website! For the cost y to be split evenly among m workers.
Each worker would pay
Since p workers did not pay, then the amount short is the sum of their shares
=>
That amount then has to be split equally among remaining workers.
If p did not pay then (m-p) did pay.
So take the amount short and divide it by the remaining number of workers.
=> = =
