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Complete Question
In a survey of employees at a fast food restaurant, it was determined that 15 cooked food, 12 washed dishes, 21 operated the cash register, 7 cooked food and washed dishes, 6 cooked food and operated the cash register, 6washed dishes and operated the cash register, 4 did all three jobs, and 7 did none of these jobs
(a) Only cooked food?
(b) Only operate the cash register?
Answer:
(a) Only cooked food?
6
(b) Only operate the cash register?
13
Step-by-step explanation:
From the above question, we have the following information:
15 cooked food
12 washed dishes
21 operated the cash register
7 cooked food and washed dishes
6 cooked food and operated the cash register
6washed dishes and operated the cash register
4 did all three jobs
7 did none of these jobs
(a) Only cooked food?
This would be calculated as
Number of people that cooked food + Number of people that did all three jobs - Number of people that cooked food and washed dishes - Number of people that cooked food and operated the cash
= 15 + 4 - 7 - 6
= 19 - 13
= 6
Therefore ,only 6 people cooked food
(b) Only operate the cash register?
This would be calculated as
Number of people that operated cash register + Number of people that did all three jobs - Number of people that cooked food and operated the cash register - Number of people that washed dishes and operated the cash register
= 21 + 4 - 6 - 6
= 25 - 12
= 13
Therefore, only 13 people operated cash register.