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

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Math Expert
Joined: 02 Sep 2009
Posts: 50009
Mary purchased 3 theater tickets with an average (arithmetic mean) pri  [#permalink]

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05 Jul 2018, 01:37
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Difficulty:

5% (low)

Question Stats:

95% (00:36) correct 5% (01:28) wrong based on 73 sessions

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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 _________________ Senior Manager Joined: 14 Feb 2018 Posts: 374 Re: Mary purchased 3 theater tickets with an average (arithmetic mean) pri [#permalink] ### Show Tags 05 Jul 2018, 02:13 (3*8 + 1*16)/4 = 40/4 = 10. Thus, D. Posted from my mobile device Math Expert Joined: 02 Aug 2009 Posts: 6974 Re: Mary purchased 3 theater tickets with an average (arithmetic mean) pri [#permalink] ### Show Tags 05 Jul 2018, 02:18 Bunuel wrote: 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

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
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Re: Mary purchased 3 theater tickets with an average (arithmetic mean) pri  [#permalink]

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05 Jul 2018, 07:37
Average price of 3 tickets = 8
Total for 3 tickets = 24
Fourth ticket = 16
Avg. price = 16+24/4 = 40/4 =10

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Re: Mary purchased 3 theater tickets with an average (arithmetic mean) pri  [#permalink]

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05 Jul 2018, 07:50
Bunuel wrote:
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 $$\frac{3*8 + 16}{4}$$ = 10, Answer must be (D) _________________ Thanks and Regards Abhishek.... PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) Director Joined: 31 Oct 2013 Posts: 651 Concentration: Accounting, Finance GPA: 3.68 WE: Analyst (Accounting) Re: Mary purchased 3 theater tickets with an average (arithmetic mean) pri [#permalink] ### Show Tags 05 Jul 2018, 16:39 Bunuel wrote: 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

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.
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Joined: 04 Jan 2015
Posts: 2069
Re: Mary purchased 3 theater tickets with an average (arithmetic mean) pri  [#permalink]

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06 Jul 2018, 01:48

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.

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Re: Mary purchased 3 theater tickets with an average (arithmetic mean) pri  [#permalink]

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06 Jul 2018, 08:21
Bunuel wrote:
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 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 Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 3896 Location: United States (CA) Re: Mary purchased 3 theater tickets with an average (arithmetic mean) pri [#permalink] ### Show Tags 07 Jul 2018, 18:29 Bunuel wrote: 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

The average price of the 4 theater tickets is:

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

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Re: Mary purchased 3 theater tickets with an average (arithmetic mean) pri &nbs [#permalink] 07 Jul 2018, 18:29
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