To solve this problem, we need to set up an equation in the form px + q = r, where x represents the number of pages Taylor read.
We know that Arlene read 30 pages, which is 10 pages more than half of the pages Taylor read. Half of the pages Taylor read can be represented as x/2.
So, Arlene read 10 pages more than x/2. To express this mathematically, we can write:
Arlene's pages = (x/2) + 10
But we are required to write the equation in the form px + q = r, so we can rewrite the expression as:
2[(x/2) + 10] = 30
Simplifying this equation, we have:
x + 20 = 30
Subtracting 20 from both sides of the equation, we get:
x = 10
Therefore, the equation in the form px + q = r that represents this problem is:
2x + 20 = 30