Ex 13.2, 7 A batch of bottles were 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?
Given,
25 boxes are packed with 12 bottles in each box
We need to find number of boxes if 20 bottles are in each box
Let the number of boxes be 𝑥
Thus, our table looks like
As we increase the number of bottles in each box,
the number of boxes to be packed decreases.
∴ They are in inverse proportion.
25 × 12 = 𝑥 × 20
(25 × 12)/20 = 𝑥
(5 × 12)/4 = 𝑥
5 × 3 = 𝑥
𝑥 = 15
∴ 15 boxes will be filled

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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