It is currently 25 Feb 2018, 17:54

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A theater box office sold an average of 65 tickets per staff

Author Message
TAGS:

### Hide Tags

Senior RC Moderator
Status: It always seems impossible until it's done!!
Joined: 29 Aug 2012
Posts: 1109
Location: India
WE: General Management (Aerospace and Defense)
A theater box office sold an average of 65 tickets per staff [#permalink]

### Show Tags

08 Jul 2014, 06:29
2
KUDOS
2
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

88% (01:25) correct 12% (02:36) wrong based on 103 sessions

### HideShow timer Statistics

A theater box office sold an average (arithmetic mean) of 65 tickets per staff member to a particular movie. Among the daytime staff, the average number sold per member was 76, and among the evening staff, the average number sold was 60. If there are no other employees, what was the ratio of the number of daytime staff members to the number of evening staff members?

A) 1:1
B) 1:4
C) 5:11
D) 7:11
E) 65:76
[Reveal] Spoiler: OA

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 43917
Re: A theater box office sold an average of 65 tickets per staff [#permalink]

### Show Tags

08 Jul 2014, 07:12
2
KUDOS
Expert's post
1
This post was
BOOKMARKED
Gnpth wrote:
A theater box office sold an average (arithmetic mean) of 65 tickets per staff member to a particular movie. Among the daytime staff, the average number sold per member was 76, and among the evening staff, the average number sold was 60. If there are no other employees, what was the ratio of the number of daytime staff members to the number of evening staff members?

A) 1:1
B) 1:4
C) 5:11
D) 7:11
E) 65:76

Deviation from the mean for the daytime staff = 76 - 65 = 11.
Deviation from the mean for the evening staff = 65 - 60 = 5.

Thus, the ratio of the number of daytime staff members to the number of evening staff members = 5:11.

Or: (76x + 60y)/(x + y) = 65 --> x/y = 5/11.

_________________
SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1839
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
A theater box office sold an average of 65 tickets per staff [#permalink]

### Show Tags

08 Jul 2014, 19:58
Let "d" is the total no. of day staff

So, total collection in day = 76d .............. (1)

Let "n" is the total no. of night staff

So, total collection in night = 60n ................. (2)

Total Day & Night staff = (d+n) & overall average = 65

So, total collection (Day & Night) = 65(d+n) ........... (3)

(1) + (2) = (3)

76d + 60n = 65d + 65n

11d = 5n

$$\frac{d}{n} = \frac{5}{11}$$

_________________

Kindly press "+1 Kudos" to appreciate

SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1839
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: A theater box office sold an average of 65 tickets per staff [#permalink]

### Show Tags

08 Jul 2014, 20:13
One more method:

Using allegation

Refer diagram below:
Attachments

ja.jpg [ 11.43 KiB | Viewed 1546 times ]

_________________

Kindly press "+1 Kudos" to appreciate

Non-Human User
Joined: 09 Sep 2013
Posts: 13743
Re: A theater box office sold an average of 65 tickets per staff [#permalink]

### Show Tags

20 Sep 2017, 09:18
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2192
Location: United States (CA)
Re: A theater box office sold an average of 65 tickets per staff [#permalink]

### Show Tags

25 Sep 2017, 16:58
Gnpth wrote:
A theater box office sold an average (arithmetic mean) of 65 tickets per staff member to a particular movie. Among the daytime staff, the average number sold per member was 76, and among the evening staff, the average number sold was 60. If there are no other employees, what was the ratio of the number of daytime staff members to the number of evening staff members?

A) 1:1
B) 1:4
C) 5:11
D) 7:11
E) 65:76

We can let d = the number of daytime staff and e = the number of evening staff, and thus:

65 = (76d + 60e)/(d + e)

65d + 65e = 76d + 60e

5e = 11d

5/11 = d/e

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: A theater box office sold an average of 65 tickets per staff   [#permalink] 25 Sep 2017, 16:58
Display posts from previous: Sort by