Question

40 identical machines in a factory pack 140 crates of apples per day between them.

a) write the ratio of the number of machines to the number of crates packed per day in the form of 1: n.
b) how many crates of apples would 70 of these machines pack per day.

Answer 1

The answers for the questions are a) The ratio of the number of machines to the number of crates packed per day is 40:140. b) 70 machines would pack 245 crates of apples per day.

Step-by-step explanation:

a) The ratio of the number of machines to the number of crates packed per day can be written as 40:140.

b) To find out how many crates of apples 70 machines would pack per day, we can set up a proportion:

40 machines : 140 crates = 70 machines : x crates

Cross-multiplying, we get:

40 * x = 70 * 140

Simplifying the equation:

x = (70 * 140) / 40

Calculating the value of x, we find:

x = 245

Therefore, 70 machines would pack 245 crates of apples per day.