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mariofelixpasku: Senior | Next Rank: 100 Posts; Posts: 41; Joined: Sun Sep 23, 2012 4:26 am; Thanked: 2 times

by mariofelixpasku » Tue Oct 23, 2012 12:25 pm

If 70 children go to the cinema for the afternoon and 40 watch Cinderella and 50 watch The Little Mermaid, how many watch both Cinderella and The Little Mermaid?

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Source: Beat The GMAT — Problem Solving | Tue Oct 23, 2012 12:25 pm

msegui9: Newbie | Next Rank: 10 Posts; Posts: 3; Joined: Sat Jul 14, 2012 6:38 pm

by msegui9 » Tue Oct 23, 2012 1:49 pm

Hey,

I find it helpful to think about it using Venn Diagrams. So you the number going to Cinderella only + The Little Mermaid only + Both = 70 (1).

Let the number of kids going to both be x, then
Cinderella only = 40-x
Little Mermaid only = 50-x

Sub the above back into eqn (1) --> (40-x) + (50-x) + x = 70
Solve for x --> x=20.

Therefore, 20 see both movies.

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