Let \( x \) be the number of pages Taylor read. According to the problem, half of the pages Taylor read is \( \frac{x}{2} \).
Arlene read 30 pages, which is stated to be 10 pages more than half of what Taylor read. Therefore, we can set up the equation:
\[ \frac{x}{2} + 10 = 30 \]
To write this equation in the form \( px + q = r \), we can multiply the entire equation by 2 to eliminate the fraction:
\[ x + 20 = 60 \]
Now, rearranging it gives us:
\[ x + 20 - 20 = 60 - 20 \]
This leads to:
\[ x = 40 \]
To summarize the form \( px + q = r \):
\[ 1x + 20 = 60 \]
So, the equation is:
\[ x + 20 = 60 \]
Thus, Taylor read 40 pages.
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