Let \( x \) be the number of pages Taylor read. 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 with the following equation:
\[ 30 = \frac{1}{2}x + 10 \]
Now, let's rearrange this to fit the format \( px + q = r \).
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Subtract 10 from both sides: \[ 30 - 10 = \frac{1}{2}x \] This simplifies to: \[ 20 = \frac{1}{2}x \]
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To eliminate the fraction, multiply both sides by 2: \[ 2 \times 20 = x \] This simplifies to: \[ 40 = x \]
Now, our equation in the form \( px + q = r \) is: \[ \frac{1}{2}x - 20 = 0 \]
Thus, the final equation can be represented as: \[ \frac{1}{2}x - 20 = 0 \]
In terms of the blanks, we would write: \[ \frac{1}{2}x - 20 = 0 \] So,
- First blank: \( \frac{1}{2} \)
- Second blank: \( -20 \)
- Third blank: \( 0 \)
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