Question

3.In
In a library 136 copies of a certain book
require a shelf-length of 3.4 metre. How
many copies of the same book would occupy
a shelf-length of 5.1 m ?​

Answer 1

Answer:

204 copies will occupy a shelf of length 5.1m.

Step-by-step explanation:

Let x be the number of copies that would occupy a self-length of 5.1m.  

Number of copies  136  x  

Length the self ( in m )  3.4  5.1  

Since, the number of copies and the length of the shelf are in direct variation.

∴  x

136  =  5.1

3.4

​⇒  136×5.1=x×3.4

⇒  x=  3.4

136×5.1

​⇒  x=204

∴  204 copies will occupy a shelf of length 5.1m.

Answer 2

Answer:

Let x be the number of copies that would occupy a self-length of 5.1m.

Number of copies 136 x

Length the self ( in m ) 3.4. 5.1

Since, the number of copies and the length of the shelf are in direct variation

$∴ \frac{136}{x} = \frac{3.4}{5.1}$

$⇒ 136×5.1=x×3.4$

$⇒x= \frac{136×5.1}{3.4}$

$⇒x=204$

∴ 204 copies will occupy a shelf of length 5.1m.