Q2B. - Algebra 1

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?

Step-by-Step Solution

Answer

The books has 264 pages.

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.