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Of the 200 members of a certain association, each member who speaks German also speaks English, and 70 of the members speak only Spanish. If no members speak all 3 languages, how many members speak two of the three languages?

(1) 60 of the members speak only English.
(2) 20 of the members do not speak any of the three languages.

You must use both statements to solve. Please help!

2006-12-29 10:07:38 · 5 answers · asked by Julia P 1 in Science & Mathematics Mathematics

5 answers

200 - 60 who only speak English.
140 - 20 who speak none of the three
120 - 70 who only speak Spanish
50 remain.

Since none speak only German, each of these 50 must either speak German and English or English and Spanish, both conditions count for the question, so the answer is 50.

2006-12-29 10:19:39 · answer #1 · answered by xaviar_onasis 5 · 0 0

200 members
60 speak English but not german
20 members speak no English, German, or Spanish
70 members speak only spanish

200 members:
20 speak none, 70 speak only spanish. That leaves 110 of interest. Subtrack the 60 who only speak English, and we have 50.

If all 50 speak German, does this work?

That means of the 200:
50 speak G,E
20 speak none
70 speak S
60 speak E

It works, but does it have to be 50 bilingual members?
I think so, because we have identified the Spanish-only and the ENglish-only, and there are no German-only

2006-12-29 10:14:56 · answer #2 · answered by firefly 6 · 0 0

200 (members) - 70 (Spanish only) = 130.
130 - 60 (English only)= 70.
70 - 20 (non-English,German & Spanish-speakers) = 50 (who speak both German and English).
Sayonaraaaaaa !

2006-12-29 10:20:47 · answer #3 · answered by sandwreckoner 4 · 0 0

200 members
- 60 only Eng
- 20 not germ, eng, or spa
- 70 only Spa
= 50 candidates to speak 2 of 3 languages

There is not enough info to decide how many of those 50 members are bilingual.

2006-12-29 10:17:54 · answer #4 · answered by gmarraco 2 · 0 0

Draw a venn diagram. They actually give you all of the values except for "German and English" and "English and Spanish". Sorry, it's difficult to explain without actually using a diagram, but the answer is 50.

2006-12-29 10:16:30 · answer #5 · answered by John C 4 · 0 0

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