Share the Profits
A small restaurant business ended its year with $7920 in a profit sharing plan for its employees. The cooks profit sharing amounted to $302 more than the waitress, $882 more than the busboy, and $960 more than the dishwasher.
How much did each receive?
How much did each receive?
posted by Zaux at
7:33 PM
5 Comments:
Cook $2516, waitress $2214,
busboy $1634 and dishwasher $1556
yep ....
...and all out of my pocket.
You'll probably find that lying on that sort of loose change. Ask permission before looking - you've been warned.
Now for the details. In a self-evident notation:
c = w + 302 = b + 882 = d + 960.
c + w + b +d = 7920
=> c + (c-302) + (c-882) + (c-960) = 7920
=> 4c - 2144 = 7920 => c = 2516
w = 2516 - 302 = 2214
b = 2516 - 882 = 1634
d = 2516 - 960 = 1556
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