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 what Taylor read. This can be expressed mathematically as:
\[ 30 = \frac{1}{2}x + 10 \]
To express this in the form \( px + q = r \):
- First, subtract 10 from both sides:
\[ 30 - 10 = \frac{1}{2}x \]
- This simplifies to:
\[ 20 = \frac{1}{2}x \]
- Now, to eliminate the fraction, multiply both sides by 2:
\[ 40 = x \]
Now, putting the equation in the desired form, we have:
\[ \frac{1}{2}x - 20 = 0 \]
Or, rearranging it, we can express it as:
\[ \frac{1}{2}x - 20 = 0 \]
So, in the form \( px + q = r \), we can write:
\[ \frac{1}{2}x - 20 = 0 \]
Thus, to answer the request:
\[ \frac{1}{2}x + (-20) = 0 \]
Where \( p = \frac{1}{2} \), \( q = -20 \), and \( r = 0 \).
So your final answer would be:
\[ \frac{1}{2}x + (-20) = 0 \]
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