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Of the 430 travellers on an plane, 220 travellers are fluent in

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Of the 430 travellers on an plane, 220 travellers are fluent in  [#permalink]

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New post Updated on: 17 Apr 2017, 04:59
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82% (01:44) correct 18% (01:22) wrong based on 98 sessions

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Of the 430 travellers on an plane, 220 travellers are fluent in French language. How many of the travellers are fluent in German language?

(1) The number of travellers who are fluent in both French and German languages is twice the number of travellers who are fluent in neither French nor German language.
(2) 25 travellers are not fluent in either German or French language.

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Originally posted by amathews on 15 Apr 2017, 07:58.
Last edited by amathews on 17 Apr 2017, 04:59, edited 1 time in total.
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Re: Of the 430 travellers on an plane, 220 travellers are fluent in  [#permalink]

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New post 15 Apr 2017, 14:57
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amathews wrote:
Of the 430 travellers on an plane, 220 travellers are fluent in French language. How many of the travellers are fluent in German language?

(1) The number of travellers who are fluent in both French and German languages is twice the number of travellers who are fluent in neither French nor German language.
(2) 25 travellers are not fluent in either German or French language.


An overlapping sets DS problem! These aren't my favorite, just because they take a lot of writing/organization. My initial scratch work is attached. Once you realize that neither statement is sufficient alone, combine them and fill out the chart to find that 185+2(25) = 235 travelers are fluent in German.
Attachments

430 travelers.png
430 travelers.png [ 33.76 KiB | Viewed 819 times ]


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Re: Of the 430 travellers on an plane, 220 travellers are fluent in  [#permalink]

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New post 25 Apr 2017, 22:28
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Toal no. of People = fluent in French + fluent in german - fluent in both french & german + fluent neither in german or french
using statement 1 and 2 above can be solved
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Re: Of the 430 travellers on an plane, 220 travellers are fluent in &nbs [#permalink] 25 Apr 2017, 22:28
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Of the 430 travellers on an plane, 220 travellers are fluent in

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