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# During one month at a particular restaurant, 1/6 of the burgers so

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VP
Joined: 11 Feb 2015
Posts: 1146
During one month at a particular restaurant, 1/6 of the burgers so  [#permalink]

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29 Mar 2020, 19:14
3
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Difficulty:

35% (medium)

Question Stats:

66% (01:50) correct 34% (02:21) wrong based on 56 sessions

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During one month at a particular restaurant, 1/6 of the burgers sold were turkey burgers and 1/4 of the rest of the burgers sold were beef. If x of the burgers sold were beef, how many were turkey burgers?

A) $$\frac{x}{8}$$
B) $$\frac{x}{2}$$
C) $$\frac{2x}{3}$$
D) $$\frac{3x}{4}$$
E) $$\frac{4x}{5}$$

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e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3394
Re: During one month at a particular restaurant, 1/6 of the burgers so  [#permalink]

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30 Mar 2020, 02:43
3

Solution

Given
In this question, we are given that
• During one month at a particular restaurant, $$\frac{1}{6}$$ of the burgers sold were turkey burgers and $$\frac{1}{4}$$ of the rest of the burgers sold were beef.
• Also, x of the burgers sold were beef.

To find
We need to determine
• Number of turkey burgers sold

Approach and Working out
If we assume N to be the total number of burgers, then
• Number of turkey burgers sold = $$\frac{N}{6}$$

Remaining burgers = $$N – \frac{N}{6} = \frac{5N}{6}$$
• Number of beef burgers sold = $$\frac{5N}{6} * \frac{1}{4} = \frac{5N}{24}$$

As per the given condition, $$\frac{5N}{24} = x$$
Or, $$N = \frac{24x}{5}$$

Hence, number of turkey burgers sold = $$\frac{N}{6} = \frac{24x}{5} * \frac{1}{6} = \frac{4x}{5}$$

Thus, option E is the correct answer.

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Joined: 26 Apr 2019
Posts: 159
Location: India
GMAT 1: 690 Q49 V34
GMAT 2: 700 Q49 V36
GMAT 3: 720 Q50 V37
GPA: 3.99
Re: During one month at a particular restaurant, 1/6 of the burgers so  [#permalink]

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06 Apr 2020, 02:04
let y be the total number of burger then turkey burger will be y/6 and beef burger will be 5y/24 =x as given in question so y =24x/5
thus total number of turkey burger in form of x will be 4x/5
Re: During one month at a particular restaurant, 1/6 of the burgers so   [#permalink] 06 Apr 2020, 02:04