Question

If a student requires 8 pages to write 4 essays, then how many pages will be required to write 10 essays?

• A. 8 pages
• B. 12 pages
• C. 20 pages
• D. 18 pages

Answer 1

The correct option is C 20 pages

Given, a student requires 8 pages to write 4 essays.

We know that if the number of essays increase, the number of pages utilised will also increase.

So,
$Numberofpages\left(x\right)\propto Numberofessays\left(y\right)$
$\therefore \frac{x_1}{y_1}$ = $\frac{x_2}{y_2}$

Given,
$x_1=4essays$
$y_1=8pages$
$x_2=10essays$
$\text{and,}{y}_2=\text{number of pages required}$

$\Rightarrow \frac{4}{8}=\frac{10}{y_2}$
$\Rightarrow y_2=\frac{10\times 8}{4}$
$\Rightarrow y_2=20$
So, the number of pages required to write 10 essays = 20