Question

A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?

Answer 1

Let the number of bottles filled by the machine in five hours be x. 
The given information in the form of a table is as follows.

Number of bottles	840	x
Time taken (in hours)	6	5

The number of bottles and the time taken to fill these bottles are in direct proportion. Therefore, we obtain.
\(\frac{840 }{ 6} = \frac{x}{ 5}\)
\(6x = 840 × 5\)
\(x = \frac{(840 × 5) }{ 6}\)
\(x=700\)
Thus, 700 bottles will be filled in 5 hours.