SOLUTION: Fifty numbers have an average of 76. Forty of these numbers have an average of 80. What is the average of the other ten numbers?

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Question 1082380: Fifty numbers have an average of 76. Forty of these numbers have an average of 80. What is the average of the other ten numbers?
Answer by ikleyn(52876) About Me  (Show Source):
You can put this solution on YOUR website!
.
The solution is in one line:

the average of the other ten numbers = %2850%2A76+-+80%2A40%29%2F10 = 600%2F10 = 60.

And the only your problem is to understand "Why it is so ?".