Let \( x \) represent the number of pages Taylor read. According to the problem, Arlene read 30 pages, which is 10 pages more than half of what Taylor read.
This can be expressed in equation form as follows:
\[ 30 = \frac{1}{2}x + 10 \]
We can rearrange this equation to align it with the form \( px + q = r \). First, we can isolate the term with \( x \) on one side:
- Subtract 10 from both sides:
\[ 30 - 10 = \frac{1}{2}x \]
This simplifies to:
\[ 20 = \frac{1}{2}x \]
- Now, multiply both sides by 2 to eliminate the fraction:
\[ 40 = x \]
Thus, we can rewrite the original equation in the required format by rearranging the terms:
\[ -\frac{1}{2}x + 20 = 0 \quad \text{(Rearranging gives us 0 on one side)} \]
Thus, in the form \( px + q = r \), the equation is:
\[ -\frac{1}{2}x + 20 = 0 \]
Therefore, the value of \( x \), which represents the number of pages Taylor read, is:
\[ x = 40 \]
So Taylor read \( 40 \) pages.
1 answer