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

Hint: Here we are given the number of bottles filled by the machine in six hours so first of all we will find for one hour using division and then will multiply with five to get the number of bottles filled in five hours.

Complete step-by-step answer:
Given that: A machine in a soft drink factory fills $ 840 $ in six hours
First of all we will find the bottles filled in one hour $ = \dfrac{{840}}{6} $
Find the factors for the term in the numerator
bottles filled in one hour $ = \dfrac{{140 \times 6}}{6} $
Common factors from the numerator and the denominator cancel each other and therefore remove from the numerator and the denominator.
bottles filled in one hour $ = 140 $ bottles
now, bottles filled in five hours $ = 140 \times 5 $
bottles filled in five hours $ = 700 $ bottles
hence, a machine can fill $ 700 $ bottles in five hours
So, the correct answer is “ $ 700 $ bottles ”.

Note: Instead of doing the first division and then multiplication with the number of hours we can use the fraction $ \dfrac{5}{6} $ multiplied with the total bottles filled that is $ 840 $ and then simplify for the resultant required value.
Number of bottles filled in five hours $ = \dfrac{5}{6} \times 840 $
Removing common factors from the numerator and the denominator.
 $ = 5 \times 140 $
 $ = 700 $ bottles