Question

In the library, $136$ copies of a certain book require a shelf length of $3.4$ meters. How many copies of the same book would occupy a shelf length of$5.1$ meters?

Answer 1

Compute the number of copies :

Let the copies of the same book is $x$.

Given: $136$ copies of a certain book require a shelf length of $3.4$ meters ,

Thus, one copy occupies the shelf length $=\frac{3.4}{136}$.

We know that $x$ copies occupy shelf length of $5.1$ meters.

Thus we can write, $\frac{3.4}{136}x=5.1$

$\Rightarrow$ $3.4x=5.1\left(136\right)$

$\Rightarrow$ $3.4x=693.6$

$\Rightarrow$ $x=\frac{693.6}{3.4}$

$\Rightarrow$ $x=204$

Hence, $204$ copies of the same book would occupy a shelf length of$5.1$ meters