Veronica delivers 27 copies of the News Report and 22 copies of the City Times to 38 of the 40 houses on Oakland Street. No house receives more than 1 copy of each newspaper. How many houses receive both newspapers?

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Setting up a Venn Diagram:

We don't know any of the exact values, but if we set \(x\) as the houses that received both, we can write each space in terms of \(x\). Note that the number of houses that received only News Report and both newspapers sum to \(27\) (\(27-x+x = 27\). Same thing for City Times.

The sum of all spaces is \(38\).

$$ 27-x+x+22-x=38 $$ $$ 49-x = 38 $$ $$ x=11 $$