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

We have 840 bottles filled in six hours. So, let x bottles be filled in five hours.

Since, the two quantities are directly proportional.So we have,

\(\frac{840}x=\frac{6}5\)

\(\Rightarrow 6 \times x=5\times 840\)

Therefore, we have \(x=\frac{5\times 840}{6}\)

\(x=5\times 140=700\)

Hence the required number of bottles filled in five hours=700