SOLUTION: a get together party charged at $8/head became $9/head because 8 will not attend the party. how many people attended the party? note: this question was printed and given as a h

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Question 194386: a get together party charged at $8/head became $9/head because 8 will not attend the party. how many people attended the party?
note: this question was printed and given as a handout in class so i do not know the book reference
thank you
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a get together party charged at $8/head became $9/head because 8 will not attend the party. how many people attended the party?
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Original Plan:
Let number in the party be "n":
Let total cost of the party be "C"
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Then average cost per individula is C/n = 8
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New Plan:
Number in the party is "n-8"
Total cost of the party is still "C".
Then average cost per individual if C/(n-8) = 9
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Equation:
From original you get C = 8n
Substitute into new plan to solve for "n":
8n/(n-8) = 9
8n = 9n-72
n = 72 (original number in the party)
n-8 = 64 (number that actually attended the party)
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Cheers,
Stan H.