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In a group of 70, every member speaks English or French. How many

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In a group of 70, every member speaks English or French. How many [#permalink]

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New post 26 Oct 2017, 21:35
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In a group of 70, every member speaks English or French. How many members speak only French?

(1) 50 members speak English.
(2) 10 members speak both English and French.
[Reveal] Spoiler: OA

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Re: In a group of 70, every member speaks English or French. How many [#permalink]

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New post 26 Oct 2017, 22:44
Total=English+French+Both
70=English+French+Both
(1) 50 persons speak english, including both, so we have got the value for 2 out of 3 variables from the equation above, substituting:
70=50(English+Both)+French
French=70-50=20
Sufficient
(2) 10 person both speak english and french, that gives us value for 1 out of 3 variables from tha equation above, hence Insufficient.

Answer A
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Re: In a group of 70, every member speaks English or French. How many [#permalink]

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New post 19 Dec 2017, 02:16
Alexey1989x wrote:
Total=English+French+Both
70=English+French+Both
(1) 50 persons speak english, including both, so we have got the value for 2 out of 3 variables from the equation above, substituting:
70=50(English+Both)+French
French=70-50=20
Sufficient
(2) 10 person both speak english and french, that gives us value for 1 out of 3 variables from tha equation above, hence Insufficient.

Answer A



Hi Alexey1989x,

Total number of people would be = English + French - both ( using the set formula for 2 elements )

Statement 1 gives the value of English + both = 50
Number of variables = 3; Equations = 2 Cannot be solved

Similarly for statement 2
Number of variables = 3; Equations = 2 Cannot be solved

Using both the statements we have 3 equations and 3 statements. Can be solved easily.

French = 40, English = 40 and both = 10
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Re: In a group of 70, every member speaks English or French. How many [#permalink]

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New post 19 Dec 2017, 02:23
SaGa wrote:
Alexey1989x wrote:
Total=English+French+Both
70=English+French+Both
(1) 50 persons speak english, including both, so we have got the value for 2 out of 3 variables from the equation above, substituting:
70=50(English+Both)+French
French=70-50=20
Sufficient
(2) 10 person both speak english and french, that gives us value for 1 out of 3 variables from tha equation above, hence Insufficient.

Answer A



Hi Alexey1989x,

Total number of people would be = English + French - both ( using the set formula for 2 elements )

Statement 1 gives the value of English + both = 50
Number of variables = 3; Equations = 2 Cannot be solved

Similarly for statement 2
Number of variables = 3; Equations = 2 Cannot be solved

Using both the statements we have 3 equations and 3 statements. Can be solved easily.

French = 40, English = 40 and both = 10


"Statement 1 gives the value of English + both = 50
Number of variables = 3; Equations = 2 Cannot be solved "

Total=English + both + French
70=50+French
French=20 (iaw to the stimulkus we need ONLY French)

A is sufficient
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Re: In a group of 70, every member speaks English or French. How many [#permalink]

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New post 19 Dec 2017, 11:04
SaGa wrote:
Alexey1989x wrote:
Total=English+French+Both
70=English+French+Both
(1) 50 persons speak english, including both, so we have got the value for 2 out of 3 variables from the equation above, substituting:
70=50(English+Both)+French
French=70-50=20
Sufficient
(2) 10 person both speak english and french, that gives us value for 1 out of 3 variables from tha equation above, hence Insufficient.

Answer A



Hi Alexey1989x,

Total number of people would be = English + French - both ( using the set formula for 2 elements )

Statement 1 gives the value of English + both = 50
Number of variables = 3; Equations = 2 Cannot be solved

Similarly for statement 2
Number of variables = 3; Equations = 2 Cannot be solved

Using both the statements we have 3 equations and 3 statements. Can be solved easily.

French = 40, English = 40 and both = 10


Hi SaGa

Total = Only English+Only French+Both. As (Both+Only English)=English

so Total = English+Only French

70=50+Only French => French=70-50=20. Sufficient
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Re: In a group of 70, every member speaks English or French. How many [#permalink]

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New post 20 Dec 2017, 05:09
Thank you Alexey1989x and niks18. I got confused with only English and English ( only English + both )
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Re: In a group of 70, every member speaks English or French. How many   [#permalink] 20 Dec 2017, 05:09
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