Final answer:
To determine the number of employees who only cook food, subtract the employees who have multiple roles from the total number of employees who cook food.
Step-by-step explanation:
In order to determine how many employees only cook food, we need to analyze the given information. We know that there are a total of 41 employees. Of these, 13 cook food, 12 wash dishes, and 22 operate the cash register. There are also 4 employees who cook and wash dishes, 5 who cook and operate the cash register, and 6 who wash dishes and operate the cash register.
To find the number of employees who only cook food, we need to subtract the number of employees who cook and wash dishes, who cook and operate the cash register, and who wash dishes and operate the cash register from the total number of employees who cook food.
Therefore, the number of employees who only cook food is 13 - (4 + 5) = 4.