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On a business trip, 30 percent of 60 sales representatives will be giv

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On a business trip, 30 percent of 60 sales representatives will be giv  [#permalink]

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New post 13 Jun 2019, 00:20
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On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 55 percent of the sales representatives prefer to stay at Hotel XYZ and 45 percent prefer to stay at Hotel ABC. What is the highest possible number of sales representatives NOT given accommodations at the hotel they prefer?

(A) 51
(B) 52
(C) 53
(D) 54
(E) 55

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Re: On a business trip, 30 percent of 60 sales representatives will be giv  [#permalink]

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New post 13 Jun 2019, 00:56
Bunuel wrote:
On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 55 percent of the sales representatives prefer to stay at Hotel XYZ and 45 percent prefer to stay at Hotel ABC. What is the highest possible number of sales representatives NOT given accommodations at the hotel they prefer?

(A) 51
(B) 52
(C) 53
(D) 54
(E) 55


Actual Stay = 18 at XYZ and 42 at ABC
Preference = 33 at XYZ and 27 at ABC.

Now assume all 33 who prefer XYZ are given accommodation at ABC and XYZ is has 0 preference and 18 non-pref while ABC will have 9 pref and 33 non-pref. So 51 IMO A
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Re: On a business trip, 30 percent of 60 sales representatives will be giv  [#permalink]

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New post 13 Jun 2019, 06:07
Bunuel wrote:
On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 55 percent of the sales representatives prefer to stay at Hotel XYZ and 45 percent prefer to stay at Hotel ABC. What is the highest possible number of sales representatives NOT given accommodations at the hotel they prefer?

(A) 51
(B) 52
(C) 53
(D) 54
(E) 55


Image

To find maximum number of NOT preferred accommodations, Give preferred accommodations the least = 0 (as shown above)

Total non preferred = X + Y = 18 + 33 = 51

IMO Option A

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Re: On a business trip, 30 percent of 60 sales representatives will be giv   [#permalink] 13 Jun 2019, 06:07
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