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# In the Peterson Company, the ratio of upper-management to middle-mana

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Math Expert
Joined: 02 Sep 2009
Posts: 50036
In the Peterson Company, the ratio of upper-management to middle-mana  [#permalink]

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05 Feb 2018, 06:27
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Difficulty:

25% (medium)

Question Stats:

72% (01:36) correct 28% (02:08) wrong based on 81 sessions

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In the Peterson Company, the ratio of upper-management to middle-management personnel is 4:3. If 75% of upper management has experience on the production line, what is the greatest proportion of the total of upper- and middle management personnel who could have experience on the production line?

(A) 5/7
(B) 3/4
(C) 6/7
(D) 7/6
(E) 7/4

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Re: In the Peterson Company, the ratio of upper-management to middle-mana  [#permalink]

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05 Feb 2018, 07:15
Bunuel wrote:
In the Peterson Company, the ratio of upper-management to middle-management personnel is 4:3. If 75% of upper management has experience on the production line, what is the greatest proportion of the total of upper- and middle management personnel who could have experience on the production line?

(A) 5/7
(B) 3/4
(C) 6/7
(D) 7/6
(E) 7/4

Since the ratio of upper-management to middle management personnel is 4:3, U:M = 4x:3x
Since 75% of the upper management has experience on the production line, $$\frac{3}{4}*4x = 3x$$

Therefore, the greatest proportion of total of upper and middle management personal is $$\frac{3x+3x}{3x+4x} = \frac{6x}{7x} = \frac{6}{7}$$(Option C)
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Re: In the Peterson Company, the ratio of upper-management to middle-mana  [#permalink]

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08 Feb 2018, 05:40
pushpitkc wrote:
Bunuel wrote:
In the Peterson Company, the ratio of upper-management to middle-management personnel is 4:3. If 75% of upper management has experience on the production line, what is the greatest proportion of the total of upper- and middle management personnel who could have experience on the production line?

(A) 5/7
(B) 3/4
(C) 6/7
(D) 7/6
(E) 7/4

Since the ratio of upper-management to middle management personnel is 4:3, U:M = 4x:3x
Since 75% of the upper management has experience on the production line, $$\frac{3}{4}*4x = 3x$$

Therefore, the greatest proportion of total of upper and middle management personal is $$\frac{3x+3x}{3x+4x} = \frac{6x}{7x} = \frac{6}{7}$$(Option C)

Can u explain how is it 3x+3x?
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Joined: 29 Jan 2018
Posts: 34
Concentration: Marketing, Strategy
Re: In the Peterson Company, the ratio of upper-management to middle-mana  [#permalink]

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21 Aug 2018, 06:59
Language is confusing..
Can someone please explain the last line.

Thanks
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Joined: 15 May 2018
Posts: 4
Re: In the Peterson Company, the ratio of upper-management to middle-mana  [#permalink]

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10 Sep 2018, 05:03
pushpitkc wrote:
Bunuel wrote:
In the Peterson Company, the ratio of upper-management to middle-management personnel is 4:3. If 75% of upper management has experience on the production line, what is the greatest proportion of the total of upper- and middle management personnel who could have experience on the production line?

(A) 5/7
(B) 3/4
(C) 6/7
(D) 7/6
(E) 7/4

Since the ratio of upper-management to middle management personnel is 4:3, U:M = 4x:3x
Since 75% of the upper management has experience on the production line, $$\frac{3}{4}*4x = 3x$$

Therefore, the greatest proportion of total of upper and middle management personal is $$\frac{3x+3x}{3x+4x} = \frac{6x}{7x} = \frac{6}{7}$$[color=#00a651](Option C)
[/color]

How do we arrive at 6/7.
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In the Peterson Company, the ratio of upper-management to middle-mana  [#permalink]

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10 Sep 2018, 07:59
1
Bunuel wrote:
In the Peterson Company, the ratio of upper-management to middle-management personnel is 4:3. If 75% of upper management has experience on the production line, what is the greatest proportion of the total of upper- and middle management personnel who could have experience on the production line?

(A) 5/7
(B) 3/4
(C) 6/7
(D) 7/6
(E) 7/4

Let there be 4 upper management personnel & 3 middle-management personnel , Thus total of upper- and middle management personnel is 7

So, upper management personnel having experience on the production line is 3

Further if we consider that all middle-management personnel has experience on the production line , we have a total of 6 upper- and middle management personnel.

Thus, the greatest proportion of the total of upper- and middle management personnel who could have experience on the production line is $$\frac{6}{7}$$, Answer must be (C)

Avinasht123

Hope this helps!!! Feel free to rever in case of any further doubts.
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Abhishek....

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In the Peterson Company, the ratio of upper-management to middle-mana &nbs [#permalink] 10 Sep 2018, 07:59
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