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The ratio of men to women at a banquet is 6:5. If ten men leave the pa

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The ratio of men to women at a banquet is 6:5. If ten men leave the pa  [#permalink]

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New post 12 Sep 2015, 12:48
1
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A
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Difficulty:

  35% (medium)

Question Stats:

70% (01:27) correct 30% (01:17) wrong based on 148 sessions

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The ratio of men to women at a banquet is 6:5. If ten men leave the party, which of the following could be the number of attendees remaining?

A. 55
B. 65
C. 66
D. 89
E. 101

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Re: The ratio of men to women at a banquet is 6:5. If ten men leave the pa  [#permalink]

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New post 12 Sep 2015, 15:56
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Hi shasadou,

We're told that ratio of Men to Women at a party is 6:5. This means several things...

1) The number of Men is a multiple of 6
2) The number of Women is the equivalent multiple of 5
3) The TOTAL number of people is a multiple of 11

The question tells us that 10 men leave the party. It asks what the total COULD be under these circumstances. The word 'could' is important here; it implies that there are multiple correct answers, but only one of the 5 answer choices is actually correct.

Based on all of the above information, we're looking for an answer that is 10 LESS than a multiple of 11. There's only one answer that fits...

Final Answer:
D; 89 is 10 less than 99


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Re: The ratio of men to women at a banquet is 6:5. If ten men leave the pa  [#permalink]

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New post 13 Aug 2016, 03:59
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remaining + 10 should be multiple of 11

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Re: The ratio of men to women at a banquet is 6:5. If ten men leave the pa  [#permalink]

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New post 06 Mar 2018, 11:19
shasadou wrote:
The ratio of men to women at a banquet is 6:5. If ten men leave the party, which of the following could be the number of attendees remaining?

A. 55
B. 65
C. 66
D. 89
E. 101


Since the ratio of men to women is 6 to 5, we could have the following number of guests:

11, 22, 33, 44, 55, 66, 77, 88, 99, 110, ...

So we see that if there were 99 guests and 10 men left, there would be 89 guests left.

Answer: D
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Re: The ratio of men to women at a banquet is 6:5. If ten men leave the pa &nbs [#permalink] 06 Mar 2018, 11:19
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