Mary purchased 3 theater tickets with an average (arithmetic mean) pri

Question

Mary purchased 3 theater tickets with an average (arithmetic mean) price of $8. If Mary also purchases a fourth theater ticket with a price of $16, what is the average price of all 4 theater tickets?

A. $4
B. $6
C. $8
D. $10
E. $12

SonalSinha803 · Answer

(3*8 + 1*16)/4 = 40/4 = 10.

Thus, D.

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chetan2u · Answer

Here calculations are not much but if it is calculation intensive, we can work on logic..
Average of 3 is 8..
If we add 16-8 =8 extra, this will increase each number by 8/4=2
So new average=8+2=10

D

ArjunJag1328 · Answer

Average price of 3 tickets = 8
Total for 3 tickets = 24
Fourth ticket = 16
Avg. price = 16+24/4 = 40/4 =10

Correct answer should be D

Abhishek009 · Answer

\frac{3*8 + 16}{4}

= 10, Answer must be (D)

KSBGC · Answer

Total price of 3 tickets = 3*8 = 24
Price of the 4th tickets = 16

Total price = 40

Average price = 40/ 4 = 10

Thus the best answer is D.

EgmatQuantExpert · Answer

Solution 
  Given:  
 • The average price of three theater tickets purchased by Mary is $8
• Now, the price of a fourth theater ticket purchased by Mary is $16

To find:  
 • Average price of all the four theater tickets

Approach and Working:   
 • Average price of 3 tickets = sum of the prices of three tickets/3 = 8
• Implies, total price of three tickets = 8 * 3 = 24
• Average price of four tickets = sum of the prices of four tickets/4
 o Sum of the prices of four tickets = total price of three tickets + price of the fourth ticket = 24 + 16 = 40
 
• Thus, average price of four theater tickets purchased by Mary = 40/4 = 10

Hence, the correct answer is option D.

Answer: D

Mo2men · Answer

Another way to solve using reasoning.

We have 3 ticket with mean = 8....Any other ticket will increase the mean......Eliminate A, B & C

If we have same number of ticket , the mean will be in the middle between 8 & 16..Hence it should be 12 but we have less tickets with 16....so Eliminate E

We are left with one answer

Answer: D

ScottTargetTestPrep · Answer

The average price of the 4 theater tickets is:

(3 x 8 + 16)/4 = 40/4 = 10

Answer: D

CrushTheQuant · Answer

Questions about averages become much, much easier to solve if you simply begin by writing out the average formula. Here's an explanation of this particular problem on YouTube:

https://www.youtube.com/watch?v=fU3y6XA ... EbH8fE88I8

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Mary purchased 3 theater tickets with an average (arithmetic mean) pri

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