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?
648
1800
2700
10800
Explanation:
Let the required number of bottles be $ x $.
More machines, More bottles (Direct Proportion)
More minutes, More bottles (Direct Proportion)
$ \begin{cases}6 : 10\\1 : 4 \end{cases}::270:x$
$\therefore$ 6 x 1 x $ x $ = 10 x 4 x 270
| $\Rightarrow x $ =$ \dfrac{(10 \times 4 \times 270)}{(6)} $ |
$\Rightarrow x $ = 1800.