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Companies and contracts

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Intern
Joined: 23 Nov 2006
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23 Nov 2006, 10:18
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Hello,

There are 70 companies signed a contract A and 70 companies signed a contract B. 40 % among them signed both contracts A and B. What is the total number of companies?

A: 100
B: 112
C: 116
D: 84
E: 98
SVP
Joined: 01 May 2006
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23 Nov 2006, 10:26
Welcome to the GMATClub !

(A) for me

Let set :
> X : the total number of companies
> A : number of companies that signed the contract A
> B : number of companies that signed the contract B

By drawing a Venn diagram, we obtain:

X = A + B - 0,4*X
<=> 1,4*X = 140
<=> X = 100
Director
Joined: 05 Feb 2006
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23 Nov 2006, 23:57
Yes, you can answer it quite quickly using Venn diagram.
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25 Nov 2006, 04:42
25 Nov 2006, 04:42
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