Introduction:
In a soft drink factory, there is a machine that fills bottles with the drink. It has been observed that this machine can fill 840 bottles in a period of 6 hours. Now, we need to calculate the number of bottles that will be filled in a period of 5 hours.

Given:
- Number of bottles filled in 6 hours = 840
- Time taken to fill the bottles = 6 hours

Calculation:
To find out the number of bottles that will be filled in 5 hours, we can set up a proportion using the given information.

Let's assume x as the number of bottles filled in 5 hours.

The proportion can be set up as:
840 bottles / 6 hours = x bottles / 5 hours

Cross-multiplication:
840 * 5 = 6 * x
4200 = 6x

Solving for x:
To find the value of x, we can divide both sides of the equation by 6:
x = 4200 / 6
x = 700

Answer:
Therefore, in a period of 5 hours, the machine will fill 700 bottles.

Summary:
- The machine in a soft drink factory fills 840 bottles in 6 hours.
- To find the number of bottles filled in 5 hours, we set up a proportion.
- Cross-multiplication is used to find the value of x.
- The machine will fill 700 bottles in 5 hours.