Question

In a 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 ?

• A. $204$
• B. $190$
• C. $298$
• D. $174$

Answer 1

The correct option is A $204$

Let $x$ be the number of copies that would occupy a shelf-length of $5.1$ meters.
More number of copies will require more shelf-length.
$\therefore$ It is a case of direct proportion.
$\Rightarrow \frac{136}{3.4}=\frac{x}{5.1}$
$\Rightarrow x=\frac{136\times 5.1}{3.4}=204$
Thus, $204$ copies are required for shelf-length of $5.1$ meters.