GMAT Changed on April 16th - Read about the latest changes here

 It is currently 25 Apr 2018, 07:30

### 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

# By the start of the lunch break of a conference, 3/8 of the original

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 44655
By the start of the lunch break of a conference, 3/8 of the original [#permalink]

### Show Tags

01 Jan 2018, 10:33
00:00

Difficulty:

(N/A)

Question Stats:

78% (01:39) correct 22% (01:29) wrong based on 9 sessions

### HideShow timer Statistics

By the start of the lunch break of a conference, 3/8 of the original participants had already left. By the end of the conference, 1/3 of the original participants remained. Approximately what percentage of the original participants left between lunch and the end of the conference?

A. 25%
B. 29%
C. 37%
D. 63%
E. 67%
[Reveal] Spoiler: OA

_________________
SC Moderator
Joined: 22 May 2016
Posts: 1569
By the start of the lunch break of a conference, 3/8 of the original [#permalink]

### Show Tags

01 Jan 2018, 15:26
1
KUDOS
Bunuel wrote:
By the start of the lunch break of a conference, 3/8 of the original participants had already left. By the end of the conference, 1/3 of the original participants remained. Approximately what percentage of the original participants left between lunch and the end of the conference?

A. 25%
B. 29%
C. 37%
D. 63%
E. 67%

Assign values and calculate

Use LCM of denominators
Let original participants be $$x = 24$$

$$\frac{3}{8}$$ leave before lunch:

$$\frac{3}{8} * 24 = 9$$ left before lunch

$$(24 - 9) = 15$$ remain until the lunch break

At the end, $$\frac{1}{3}$$ of original $$24$$ remain
$$\frac{1}{3} * 24 = 8$$ remain until the end

How many left the conference between lunch and the end of the conference?

At the lunch break: 15 people were there
At the end: 8 people were there

$$(15 - 8) = 7$$ left the conference between lunch and the end of the conference

Approximately what percentage of original participants left between lunch and the end of the conference?

$$\frac{7}{24} = .29xxx \approx {29}$$ percent

Assign values and estimate/eliminate

From the numbers above, 7 of 24 remain.

$$\frac{7}{24}$$ = what percent?

Compare: $$\frac{8}{24} = 33.33$$ percent
$$\frac{7}{24}$$ is a lower percentage than $$\frac{8}{24}$$= 33.33%

Answers C, D, and E are out.

Answer A, 25 percent, would be exactly $$\frac{6}{24}$$
$$\frac{7}{24}$$ is a higher percentage than $$\frac{6}{24}$$

Answer A, too low, is out. By POE:

_________________

At the still point, there the dance is. -- T.S. Eliot
Formerly genxer123

By the start of the lunch break of a conference, 3/8 of the original   [#permalink] 01 Jan 2018, 15:26
Display posts from previous: Sort by