Final answer:
To find the ratio of machines to crates in the form 1:n, divide the given ratio 40:140 by 40 and then multiply by 10 to remove decimals, yielding a simplified ratio of 1:35.
Step-by-step explanation:
The question requires us to find the ratio of the number of machines to the number of crates packed per day and express it in the form 1:n.
Given that 40 machines pack 140 crates of apples per day, we can start by writing the ratio as 40 machines to 140 crates, which simplifies to 40:140.
This ratio can be further simplified by dividing both terms by the common factor of 40, resulting in 1:3.5.
Since a ratio should have whole numbers, we can multiply both terms by 10 to eliminate the decimal, leading to our final answer of 1:35.