# 68 boxes of a certain commodity require a shelf-length of 13.6 m. How many boxes of the same commodity would occupy a shelf length of 20.4 m? - Mathematics

Short Note

68 boxes of a certain commodity require a shelf-length of 13.6 m. How many boxes of the same commodity would occupy a shelf length of 20.4 m?

#### Solution

 Number of Boxes 68 x Shelf-length (in m) 13.6 20.4

Let x be the number of boxes that occupy a shelf-length of 20.4 m.

$\text{ If the length of the shelf increases, the number of boxes will also increase .}$
$\text{ Therefore, it is a case of direct variation } .$
$\frac{68}{x} = \frac{13 . 6}{20 . 4}$
$\Rightarrow 68 \times 20 . 4 = x \times 13 . 6$
$\Rightarrow x = \frac{68 \times 20 . 4}{13 . 6}$
$= \frac{1387 . 2}{13 . 6}$
$= 102$
$\text{ Thus, 102 boxes will occupy a shelf - length of } 20 . 4 m .$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 10 Direct and Inverse Variations
Exercise 10.1 | Q 12 | Page 7

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