Question

in a survey of employees at a fast food restaurant, it was determined that 11 cooked food, 13 washed dishes, 23 operated the cash register, 4 cooked food and washed dishes, 4 cooked food and operated the cash register, 8 washed dishes and operated the cash register, 2 did all three jobs, and 4 did none of these jobs. complete parts a) through f) below.
a) how many employees were surveyed?
37 (simplify your answer.)
b) how many of the employees only cooked food?
5 (simplify your answer.)
c) how many of the employees only operated the cash register?
13 (simplify your answer.)
d) how many of the employees washed dishes and operated the cash register but did not cook food?
6 (simplify your answer.)
e) how many of the employees washed dishes or operated the cash register but did not cook food?
22 (simplify your answer.)
f) how many of the employees did at least two of these jobs?
(simplify your answer.)

Explanation:

Step1: Identify overlaps for two jobs

• Cooked & Washed: \(4 - 2 = 2\) (subtract those who did all three)
• Cooked & Cash: \(4 - 2 = 2\) (subtract those who did all three)
• Washed & Cash: \(8 - 2 = 6\) (subtract those who did all three)

Step2: Sum two - job overlaps and three - job

Total = (Cooked & Washed only) + (Cooked & Cash only) + (Washed & Cash only) + (All three)
Total = \(2 + 2 + 6 + 2 = 12\)

Answer:

12