Let's break down the information given in the problem:
1. Arlene read 30 pages.
2. Arlene read 10 pages more than half of the pages Taylor read.
Let's represent the number of pages Taylor read as a variable, say "x."
According to the problem, Arlene read 10 pages more than half of the pages Taylor read.
Half of the pages Taylor read is (1/2)x.
Adding 10 pages to half of the pages Taylor read gives us (1/2)x + 10.
Finally, we know that Arlene read 30 pages, so we can set up the equation as:
(1/2)x + 10 = 30.
To write this equation in the form px + q = r, we can multiply both sides of the equation by 2 to eliminate the fraction:
2 * (1/2)x + 2 * 10 = 2 * 30.
x + 20 = 60.
Simplifying this equation gives:
x + 20 = 60.
So the final equation in the form px + q = r is:
x + 20 = 60.