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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?

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1. 

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?

[A]. 648
[B]. 1800
[C]. 2700
[D]. 10800

Answer: Option B

Explanation:

Let the required number of bottles be x.

More machines, More bottles (Direct Proportion)

More minutes, More bottles (Direct Proportion)

Machines 6 : 10 1-sym-cbrace-h2 :: 270 : x
Time (in minutes) 1 : 4

 6 x 1 x x = 10 x 4 x 270

 x = (10 x 4 x 270)
(6)

 x = 1800.

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