Let \( x \) represent the number of pages Taylor read.
The problem states that Arlene read 30 pages, which is 10 pages more than half of the pages Taylor read. This can be expressed with the following equation:
\[ 30 = \frac{1}{2}x + 10 \]
To write it in the form \( px + q = r \), we can manipulate the equation:
-
Subtract 10 from both sides: \[ 30 - 10 = \frac{1}{2}x \] \[ 20 = \frac{1}{2}x \]
-
To eliminate the fraction, multiply both sides by 2: \[ 2 \cdot 20 = x \] \[ 40 = x \]
Thus, the complete equation in the specified form is: \[ -\frac{1}{2}x + 20 = 0 \]
This shows that Taylor read \( 40 \) pages.
1 answer