Visitors to a show were charged $15.00 each on the first day, $7.50 on

Question

Visitors to a show were charged $15.00 each on the first day, $7.50 on the second, $2.50 on the third day. Visitors total attendance for three days were in the ratio 2:5:13. Find out the average charge per visitor for the entre show.

(A) $4
(B) $5
(C) $7
(D) $9
(E) $11

(A) $4 
(B) $5
(C) $7 
(D) $9 
(E) $11

sj296 · Answer

Let's say the # of visitors are as follows:

1st day: 2x
2nd day: 5x
3rd day: 13x

=> Average charge per visitor =  \frac{ }{20x}  = 5

OA should be B

Showmeyaa · Answer

Multiply 100 to each of the charges: 1500$, 750$ and 250$
Let the number of visitors for 3 days be 2x, 5x and 13x respectively
On first day, total = 1500*2x = 3000x
On second day, total = 750*5x = 3750x
On third day, total = 250*13x = 3250x
Total cost/total number of visitors = average charge per visitor
 \frac{3000x + 3750x + 3250x}{2x + 5x + 3x} 
10000x/20x = 500
But remember, we had multiplied 100 throughout. So, the correct answer = 500/100 = 5
IMO, (B)!

PolarisTestPrep · Answer

Hey guys,

We are told that the ratio of visitors to a show from the first day to the second day to the third day was 2 : 5 : 13

Whenever given a problem, find the easiest path or the path of least resistance

Let's just assume that the ratio gave the total number of visitors for each day

So the first day there were 2 visitors, the second day there were 5 visitors, and the third day there were 13 visitors

There were 2 + 5 + 13 = 20 visitors total

We are also told the price of entry per visitor on each day

Multiply the price by the number of visitors per day to find the total amount spent per day:

2 * $15 = $30 was spent on the first day
5 * $7.50 = $37.50 was spent on the second day
13 * $2.50 = $32.50 was spent on the third day

$30 + $37.50 + $32.50 = $100 was spent total over the three days

\frac{$100}{20} = $5  was spent on average per visitor over the course of the entire show

The answer is B

bumpbot · Answer

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Visitors to a show were charged $15.00 each on the first day, $7.50 on

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