SOLUTION: Hi A group of people went to a restaurant and ordered a meal for $29.50 each. 8 of them left earlier and the total bill was split equally among the remaining people. Each of the

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Question 1176484: Hi
A group of people went to a restaurant and ordered a meal for $29.50 each. 8 of them left earlier and the total bill was split equally among the remaining people. Each of the remaining people paid $44.25. How many people were there at first.
Thanks
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A group of people went to a restaurant and ordered a meal for $29.50 each.
8 of them left earlier and the total bill was split equally among the remaining people.
Each of the remaining people paid $44.25.
How many people were there at first
:
let n = original number of people
then
(n-8) = remaining people
:
44.25(n-8) = 29.50n
44.25n - 354 = 29.50n
44.25n - 29.50n = 354
14.75n = 354
n = 354/14.75
n = 24 people originally
:
:
Check, 24-8 = 16 remained
29.50*24 = 708
44.25*16 = 708