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Answer:

c. The food will last approximately 21.78 days after selling 32 ducks.

d. It will take 180 days for 30 machines to dig the same hole.

e. When the number of students is doubled to 80, the stock will last for 60 days.

Step-by-step explanation:

c. After selling 32 ducks, the remaining food will last for around 21.78 days. This is calculated using a proportion based on the initial amount of food and the number of ducks sold.

d. If it takes 10 machines 60 days to dig a hole, then 30 machines working at the same speed will be able to dig the same hole in 180 days. This is determined by the inverse proportionality between the number of machines and the time taken to complete the task.

e. If there are initially 40 students and the food stock is enough for 30 days, doubling the number of students to 80 will result in the food stock lasting for 60 days. This is based on the proportionality between the number of students and the duration the food stock will last.

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