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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: 45374
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:

83% (01:19) correct 17% (02:22) wrong based on 23 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?
Re: In the Peterson Company, the ratio of upper-management to middle-mana   [#permalink] 08 Feb 2018, 05:40
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# In the Peterson Company, the ratio of upper-management to middle-mana

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