Question

Of the cars sold during the month of July, 91 had air conditioning, 104 had automatic transmission, and 80 had power steering. 8 cars had all three of these extras. 20 cars had none of these extras. 16 cars had only air conditioning, 65 cars had only automatic transmissions, and 28 cars had only power steering. 12 cars had both automatic transmission and power steering. How many cars had air conditioning and automatic transmission but not power steering?

Answer 1

Answer:

27

Step-by-step explanation:

If 8 cars had all three of the extras, and 12 cars had both automatic transmission and power steering, the number of cars with ONLY automatic transmission and power steering is:

N(T + S) = 12-8 = 4

The number of cars had that had air conditioning and automatic transmission but not power steering is given by the number of cars that had automatic transmission subtracted by the number of cars that had only automatic transmissions, the number of cars with ONLY automatic transmission and power steering and the number of cars that had all three of the extras:

$N (A + T) = 104 - 65 - 8 -4 \\N (A + T) = 27$

27 cars had air conditioning and automatic transmission but not power steering.