Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

Correct Answer: 1800

Explanation:

Let the required number of bottles be x

More machines, More bottles (Direct Proportion)

More minutes, More bottles (Direct Proportion)

Machines	6	:	10	]	:: 270 : x
Time (in minutes)	1	:	4	]	:: 270 : x

∴ 6 x 1 x x = 10 x 4 x 270

⟹ x =	(10 x 4 x 270)
	(6)

⟹ x = 1800.

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