Question

(Car Sales) 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

From the given data , we get

Cars with Auto + Power Steering = 12

Hence, Cars with only Auto + Power Steering = 12 - Cars with Auto + PS + A/C = 12 - 8 = 4

Cars with only Auto = 65

Hence, Cars with only Auto + A/C and not Power Steering = 104 - (8 + 4 + 65) = 27

Number of cars had air conditioning and automatic transmission but not power steering = 27

Following Venn diagram will explain more

91 A/C Auto 104 65 16 27 4 40 28 Power Steering 80 20