Let \( x \) represent the number of pages Taylor read. According to the information given, half of the pages Taylor read would be \( \frac{x}{2} \).
Arlene read 30 pages, which is 10 pages more than half the pages Taylor read. We can set up the following equation:
\[ \frac{x}{2} + 10 = 30 \]
To rewrite this equation in the form \( px + q = r \), we first rearrange it:
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Subtract 10 from both sides: \[ \frac{x}{2} = 30 - 10 \] \[ \frac{x}{2} = 20 \]
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Multiply both sides by 2 to eliminate the fraction: \[ x = 40 \]
Now, to put it in the required form \( px + q = r \):
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Start with the equation from step 1: \[ \frac{x}{2} + 10 = 30 \]
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Multiply the entire equation by 2 to eliminate the fraction: \[ x + 20 = 60 \]
Now we can identifiy \( p \), \( q \), and \( r \): \[ 1x + 20 = 60 \]
Thus, the final answer is:
\[ x + 20 = 60 \]
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