Answer:
18 cars had air conditioning and automatic transmission but not power steering.
Step-by-step explanation:
To solve this problem, we must build the Venn's Diagram of these sets.
I am going to say that:
-The set A represents the cars that had air conditioning.
-The set B represents the cars that had automatic transmission.
-The set C represents the cars that had power steering.
-The value of d represents the cars that had none of those extras.
We have that:
In which a is the number of cars that only had air conditioning, is the number of cars that have both air conditioning and automatic transmission, is the number of cars that have both air conditioning and power steering. And is the number of cars that had all those three extras.
By the same logic, we have:
How many cars had air conditioning and automatic transmission but not power steering?
This is .
We start finding the values from the intersection of three sets
6 cars had all three of these extras. This means that
11 cars had both automatic transmission and power steering.
This is
25 cars had only power steering.
This means that
62 cars had only automatic transmissions.
This means that .
21 cars had only air conditioning
This means that
80 had power steering
This means that
Now, we can use the equation of A or B to find
96 had automatic transmission. This means that
18 cars had air conditioning and automatic transmission but not power steering.