Let \( x \) be the number of pages Susan read yesterday. According to the problem, she read 17 pages today, which is 8 pages fewer than \( \frac{13}{3} \) of the pages she read yesterday. We can express this relationship with the following equation:
\[ 17 = \frac{13}{3}x - 8 \]
To solve for \( x \), we start by isolating \( \frac{13}{3}x \):
\[ 17 + 8 = \frac{13}{3}x \]
\[ 25 = \frac{13}{3}x \]
Next, we will multiply both sides by \( \frac{3}{13} \) to solve for \( x \):
\[ x = 25 \times \frac{3}{13} \]
Calculating the right side:
\[ x = \frac{75}{13} \]
Performing the division gives:
\[ 75 \div 13 \approx 5.7692 \]
That means Susan read approximately \( 5.77 \) pages yesterday, but let's compute \( x \) in a more manageable way. For exact simplification (as a fraction):
\[ x = \frac{75}{13} \approx 5.77 \]
Now let’s convert \( \frac{75}{13} \) back to an approximate decimal:
\[ \frac{75}{13} \approx 5.769 \]
So, in summary, Susan read approximately \( 5.77 \) pages yesterday, or:
\[ \text{Susan read } \frac{75}{13} \text{ pages yesterday.} \]
If we need a whole number (integer), we can approximate it as 6 pages. However, without rounding for full pages, the exact value remains \( \frac{75}{13} \) pages.
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