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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.

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

Solution:

Let the number of bottles be x and the time in hours be y.

Number of bottles Time in hours
x₁ = 840 y₁ = 6
x₂ = ? y₂ = 5

So, the number of bottles filled, and numbers of hours are directly proportional to each other.

Two numbers x and y are said in direct proportion if, the relationship between two quantities is such that if we increase one, the other will also increase, and if we decrease one the other quantity will also decrease.

x/y = k, x = ky

where k is a constant.

Thus, x₁ / y₁ = x₂ / y₂

840 / 6 = x₂ / 5

6x₂ = 840 × 5

x₂ = (840 × 5) / 6

x₂ =700

Thus, 700 bottles can be filled in 5 hours.

☛ Check: Class 8 Maths NCERT Solutions Chapter 13

Video Solution:

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

NCERT Solutions Class 8 Maths Chapter 13 Exercise 13.1 Question 4

Summary:

A machine in a soft drink factory fills 840 bottles in six hours. 700 bottles will be filled in 5 hours.

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