Author 
Topic 

mingshum
Senior Member
USA
29 Posts 
Posted  02/28/2009 : 20:16:00

To celebrate a colleague's graduation, the m coworkers in an office agreed to contribute equally to a catered lunch that costs a total of y dollars. If p of the coworkers fail to contribute, which of the folloing represents the additional mount, in dollars, that each of of the remaining coworkers must contribute to pay for the lunch?
The answer is py/m(mp)
I tried to substitute numbers in place of the variables but couldn't come up with the above answer. 


skeeter
Advanced Member
USA
5634 Posts 
Posted  03/01/2009 : 13:25:59

m workers
if all m paid, y/m = cost per worker
but, there are p deadbeats ...
(m  p) payers
y/(m  p) = cost per payer
additional cost is y/(m  p)  y/m
common denominator ...
ym/[m(m  p)]  y(m  p)/[m(m  p)]
[ym  y(m  p)]/[m(m  p)]
[ym  ym + yp]/[m(m  p)]
yp/[m(m  p)] 


mingshum
Senior Member
USA
29 Posts 
Posted  03/01/2009 : 17:47:07

Thank you for your clear explanation laced with humor! 



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