Sets

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Sets

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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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.