SOLUTION: The office picnic was off to a bad start. The original cost was $3.00 a person, but a flu epidemic bought eight cancellations. So the cost went up to $5.00 a person for the same

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Question 165641: The office picnic was off to a bad start.
The original cost was $3.00 a person, but a flu epidemic bought eight cancellations.
So the cost went up to $5.00 a person for the same total cost.
How many people were originally going to attend the party?
Please show understandable work if possible, thank you!
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The office picnic was off to a bad start.
The original cost was $3.00 a person, but a flu epidemic bought eight cancellations.
So the cost went up to $5.00 a person for the same total cost.
How many people were originally going to attend the party?
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Cost = 3*N (N = original # of people)
Cost = 5*(N-8) (after 8 cancellations)
3N = 5*(N-8)
3N = 5N - 40
-2N = -40
N = 20 (The info requested)
-----------
Check:
3*20 = $60
5*12 = $60