Question

A batch of bottles was packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?

Answer 1

Hint:Here we will find the total number of bottles in the batch of bottles by multiplying number of boxes with number of bottles in each box. Then we will divide this total number of bottles with the number of bottles in each new box to get the number of boxes required, if each box contains 20 bottles.

Complete step-by-step answer:
Given, the number of bottles in each box = 12 and
Total number of boxes = 25
Since, Total number of bottles = Number of boxes × Number of bottles in each box
Therefore, the total number of bottles in the given patch = $25 \times 12 = 300$
Now, this batch of bottles is packed in other boxes such that each box contains 20 bottles.
Since, Number of boxes = $\dfrac{{{\text{Number of bottles}}}}{{{\text{Number of bottles in each box}}}}$.
$\therefore $ The number of boxes =$\dfrac{{300}}{{20}} = 15$.
Thus, the number of boxes = 15.
Therefore, if the same batch is packed using 20 bottles in each box, 15 boxes would be filled.

Note:This question is based on a simple unitary method. Alternatively, you can solve it directly without finding the total number of bottles. By assuming number of boxes as x, and equate total number of bottles in each case without actually finding the total number of boxes as:$25 \times 12 = 20x \Rightarrow x = \dfrac{{25 \times 12}}{{20}} = 15$. Hence, the required number of boxes is 15.You can also use ratio and proportion concepts to solve these types of questions.