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?
4 Explanations
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Christoph Mader
I came to (B) with an estimation, I'm not quite sure though if it is a 100% correct but the easiest way would be:
6 Machines -> 270 bottles / min
12 Machines -> 540 bottles / min
in 4 minutes -> 540*4 = 2160
So (C), (D), (E) are out of question already
(A) is out of question as well because 270*4 > 648, so 4 Machines would already produce more then 648.
Used the mental math concept of "estimation" explained in the intro to math videos, since the answers were spread apart.
1. Rounded up 270 to 300, which is easily divided by 6. So roughly one machine can produce 50 bottles per minute.
2. 10 machines * 50 bottles = 500 bottles per min.
3. 500 bottles per min * 4 mins. = roughly 2000 bottles
4. Taking into account the rounding up in beginning, the closest answer is 1800 bottles.
4 Explanations