Susan read 17 pages today. That is 8 pages fewer than 1/3

of the pages she read yesterday. How many pages did she read yesterday?(1 point)

1 answer

Let \( x \) be the number of pages Susan read yesterday. According to the problem, we know that:

\[ \text{Pages read today} = \frac{1}{3} \text{Pages read yesterday} - 8 \]

Since she read 17 pages today, we can set up the equation:

\[ 17 = \frac{1}{3}x - 8 \]

To isolate \( \frac{1}{3}x \), we first add 8 to both sides:

\[ 17 + 8 = \frac{1}{3}x \]

This simplifies to:

\[ 25 = \frac{1}{3}x \]

Next, to solve for \( x \), we multiply both sides by 3:

\[ x = 25 \times 3 \]

Calculating this gives us:

\[ x = 75 \]

Thus, Susan read \( \boxed{75} \) pages yesterday.