Hello, schinb64!

Did you sketch a Venn diagram?

A car dealer has 22 vehicles on his lot.

8 of vehicles are vans, and 6 of the vehicles are red,

10 vehicles are neither red nor vans.

How many vans are red. ? Code:

* - - - - - - - - - - - - - - - *
| |
| * - - - - - - - * |
| | Vans | |
| | * - - - | - - - * |
| | | | | |
| | | | | |
| | | | | |
| * - - - | - - - * | |
| | Red | |
| 10 * - - - - - - - * |
| |
* - - - - - - - - - - - - - - - *

We can reason it out . . .

There are 22 cars in the large rectangle.

There 10 which are neither red nor vans.

. . These are __outside__ the two rings.

That leaves **12** cars to be __inside__ the rings.

We are told that there are 8 cars in the Van ring and 6 cars in the Red ring.

. . But that would be a total of **14** cars inside the rings.

Hence, there must be an "overlap" of two cars.

Therefore, there are 2 cars which are both Vans and Red.