kamalj wrote:The price of lunch for 15 people was $207.00, including a 15 percent gratuity for service. What was the average price per person, EXCLUDING the gratuity?
(A) $11.73
(B) $12.00
(C) $13.80
(D) $14.00
(E) $15.87
We can PLUG IN THE ANSWERS, which represent the cost per person.
Given that the total cost is an INTEGER, the correct answer is almost certainly an integer itself.
Answer choice D is too great, since 15 people paying $14 each = 15*14 = 210 -- a value beyond the total cost of 207.
Answer choice B: $12 per person without gratuity
Total price for 15 people = 15*12 = 180.
Price + gratuity = 180 + .15(180) = 180+27 = 207.
Success!
The correct answer is
B.
Hello Experts ,
Please advise where did i go wrong?
Gratuity Service = 207*15/100 = 31.05
So without gratuity service = 207 - 31.05 = 175.95
average price without gratuity service = 175.95 /15 = 11.73
Please explain.
Thanks...
The step in red is the equivalent of subtracting 15% OF THE FINAL PRICE.
But the gratuity is not equal to 15% of the final price; the gratuity is equal to 15% OF THE BASE PRICE.
The two values are not the same.
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