# In a group of 50 patrons, 18 patrons like lattes, 16 patrons like espressos, and 8 patrons like both coffee drinks. How many patrons don't like either of the coffee drinks?

24

#### Explanation:

There are 50 patrons. Some like one kind of coffee, some another, some both, some neither.

Of the 18 patrons that like lattes, 8 of them also like espressos.
Of the 16 patrons that like espressos, 8 of also like lattes.

This means that we can say that the number of people who like only lattes is $18 - 8 = 10$.

We can also say that the number of patrons that only like espressos is $16 - 8 = 8$.

And now we have everything we need to do the complete breakdown:

$\left(\begin{matrix}\text{Only likes lattes" & 10 \\ "Only likes espressos" & 8 \\ "Likes both" & 8 \\ "Likes neither" & ul24 \\ "Total patrons} & 50\end{matrix}\right)$