Let's denote the number of pages Taylor read as \( x \).
According to the problem, Arlene read 30 pages, which is 10 pages more than half of the pages Taylor read. We can express this relationship in an equation.
Half of the pages Taylor read is \( \frac{x}{2} \). Since Arlene read 10 pages more than this amount, we can write the following equation:
\[ \frac{x}{2} + 10 = 30 \]
To express this in the form \( px + q = r \), we first multiply the entire equation by 2 to eliminate the fraction:
\[ x + 20 = 60 \]
Now, we can rewrite this equation in the desired format \( px + q = r \):
\[ 1x + 20 = 60 \]
Thus, the values for \( p \), \( x \), and \( a \) are:
- \( p = 1 \)
- \( q = 20 \)
- \( r = 60 \)
So the equation representing the problem is:
\[ x + 20 = 60 \]