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?
(simplify your answer.)

Explanation:

Step1: Find only washed dishes

Only washed dishes = Washed dishes - (cooked & washed + washed & cash - all three) = \(13 - (4 + 8 - 2) = 3\)

Step2: Find only operated cash register (already 13)

Step3: Find washed or cash but not cook

Use only washed + only cash + (washed & cash but not cook) = \(3 + 13 + 6 = 22\)

Answer:

22