Arlene read 30 pages. That is 10 pages more than half of the pages Taylor read. How many

pages did Taylor read?
Write an equation in the form pz tq=r to represent this problem.

1 answer

Let's denote the number of pages Taylor read as T. We know that Arlene read 10 pages more than half of the pages Taylor read. Therefore, half of the pages Taylor read is T/2, and 10 pages more than that would be (T/2) + 10.

According to the problem, the number of pages Arlene read, which is 30 pages, is equal to 10 pages more than half of the pages Taylor read. So we can write the equation as follows:

(T/2) + 10 = 30

To put this in the form pz + tq = r, we will let p be the number 1/2 (the coefficient representing half of Taylor's pages), z be the number of pages Taylor read (T), t be the number 10 (the additional pages Arlene read beyond half of Taylor's pages), and r be the total number of pages Arlene read (30). Thus, our equation would look like this:

(1/2)T + 10 = 30

In this equation, p = 1/2, z = T, t = 10, and r = 30.