The price of lunch for 15 peoplewas $207.00 including a 15% gratuity for service. What was the average price per person, excluding gratuity?
a.11.73
b.12.00
c.13.80
d.14.00
e.15.87
We can plug in the answer choices, which represent the price per person without the gratuity.
Since the total cost of 207 is an integer, the correct answer is likely to be an integer, so we should start with answer choice B or D.
Answer choice B:
Price per person = 12
Total cost for 15 people without gratuity = 15*12 = 180
Gratuity = .15*180 = 27
Total cost with gratuity = 180+27 = 207. Success!
The correct answer is
B.
Plugging in the answers removes any possible confusion. We know that the price per person has to be one of the answer choices; we just have to determine which answer choice yields a final cost of 207.
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