Question

Reading Len read$\frac{3}{4}$ of a graphic novel over the weekend. Monday, he read 22 more pages. If he has read 220 pages, how many pages does the book have?

Short answer

The books has 264 pages.

Step-by-step solution

Step 1. Make the equation.

Assume that the book has x pages.

Len read $\frac{3}{4}x$novel over the weekend.

He read 22 more pages on Monday.

He has read 220 pages in all till yet. Now the equation is $\frac{3}{4}x+22=220$.

Step 2. Isolate the variable.

$\begin{array}{l}\frac{3}{4}x+22=220\\ \frac{3}{4}x=220-22\\ \frac{3}{4}x=198\end{array}$

Step 3. Find the value of x from the equation.

$\begin{array}{l}3x=198\times 4\\ 3x=792\\ x=\frac{792}{3}\\ x=264\end{array}$

Hence, the books has 264 pages.