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# Of 30 theater tickets sold, 20 tickets were sold at prices b

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Of 30 theater tickets sold, 20 tickets were sold at prices b [#permalink]  23 Feb 2017, 09:10
Expert's post
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Question Stats:

79% (00:38) correct 20% (00:11) wrong based on 48 sessions

Of 30 theater tickets sold, 20 tickets were sold at prices between $10 and$30 each and 10 tickets were sold at prices between $40 and$60 each.

 Quantity A Quantity B The average (arithmetic mean) of the prices of the 30 tickets $50 A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given. [Reveal] Spoiler: OA _________________ GMAT Club Legend Joined: 07 Jun 2014 Posts: 4722 GRE 1: Q167 V156 WE: Business Development (Energy and Utilities) Followers: 91 Kudos [?]: 1630 [2] , given: 390 Re: Of 30 theater tickets sold, 20 tickets were sold at prices b [#permalink] 28 Feb 2017, 16:06 2 This post received KUDOS Expert's post Explanation Here we have two types of tickets Type A: 20 tickets @$10 to $30 Type B: 10 tickets @$40 to $60 Now for the average of tickets to be maximum the tickets need to be sold at the highest possible price. For type A it is$30 and type B is $60. Average price of tickets = $$\frac{20 \times 30 + 10 \times 60}{20 +10}= 40$$. Hence Quantity B is greater. If we select the lower most prices the average price of tickets = $$\frac{20 \times 10 + 10 \times 40}{20 +10}= 20$$. Quantity B is still greater (as expected). Hence option B is correct. _________________ Sandy If you found this post useful, please let me know by pressing the Kudos Button Try our free Online GRE Test Manager Joined: 09 Nov 2018 Posts: 54 Followers: 0 Kudos [?]: 4 [0], given: 1 Re: Of 30 theater tickets sold, 20 tickets were sold at prices b [#permalink] 14 Nov 2018, 10:15 sandy wrote: Explanation Here we have two types of tickets Type A: 20 tickets @$10 to $30 Type B: 10 tickets @$40 to $60 Now for the average of tickets to be maximum the tickets need to be sold at the highest possible price. For type A it is$30 and type B is \$60.

Average price of tickets = $$\frac{20 \times 30 + 10 \times 60}{20 +10}= 40$$.

Hence Quantity B is greater.

If we select the lower most prices the average price of tickets = $$\frac{20 \times 10 + 10 \times 40}{20 +10}= 20$$.

Quantity B is still greater (as expected).

Hence option B is correct.

Is it necessary to check for lower range?
Moderator
Joined: 18 Apr 2015
Posts: 4928
Followers: 74

Kudos [?]: 982 [0], given: 4518

Re: Of 30 theater tickets sold, 20 tickets were sold at prices b [#permalink]  14 Nov 2018, 11:50
Expert's post
As I can see, sandy did.
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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4722
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1630 [1] , given: 390

Re: Of 30 theater tickets sold, 20 tickets were sold at prices b [#permalink]  14 Nov 2018, 13:04
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KUDOS
Expert's post
AE wrote:

Is it necessary to check for lower range?

Not necessary in this case but its a good practice if you are fast enough. It's, what we call, a sanity check. On the test you might commit silly calculation errors, this is a good way to mitigate it.

Also a good practice while in non test situations.
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Sandy
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Re: Of 30 theater tickets sold, 20 tickets were sold at prices b   [#permalink] 14 Nov 2018, 13:04
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