I went to the car show this weekend and that is what I saw: Every red car was a sport car, but I found it odd that half of all the blue were sports cars. A salesman told me that half of all the sports car were red. I counted 40 blue cars and 30 red cars. How many sports cars were neither blue nor red?

Red = sports

30 red cars => 30 sports cars
Half of sports cars were red => 60 sports cars
Half of blue cars were sports cars and there are 40 blue cars => 20 blue sports cars.

Out of 60 sports cars, 30 were red, and 20 were blue. So ...

I don't really know but I think 10 cars weren't blue or red

To find the number of sports cars that were neither blue nor red, we can use a combination of information given.

First, we know that every red car was a sports car. So, the number of red cars is equal to the number of red sports cars.

We're also told that half of all the blue cars were sports cars. So, if we consider the number of blue sports cars, it would be half of the number of blue cars.

Given that there were 30 red cars and 40 blue cars, let's calculate the number of red and blue sports cars.

Number of red sports cars = Number of red cars = 30
Number of blue sports cars = Half of the number of blue cars = 40/2 = 20

Now, we need to determine how many sports cars were neither blue nor red. To find this, we subtract the number of red and blue sports cars from the total number of sports cars.

Total number of sports cars = Number of red sports cars + Number of blue sports cars
Total number of sports cars = 30 + 20 = 50

Therefore, the number of sports cars that were neither blue nor red is: Total number of sports cars - (Number of red sports cars + Number of blue sports cars) = 50 - (30 + 20) = 50 - 50 = 0.

So, there were no sports cars that were neither blue nor red.