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 px + q = r to represent this problem. (2 points)

Question

_x+10=30

Answer 1

Let's denote the number of pages Taylor read as x.

According to the problem, Arlene read 10 pages more than half of the pages Taylor read. To express "half of the pages Taylor read," we write it as 0.5x or (1/2)x. Then, we add 10 more pages to this, which results in the following equation that represents the number of pages Arlene read:

(1/2)x + 10 = 30

This equation states that half of the pages Taylor read, plus an additional 10 pages, equals the 30 pages that Arlene read.

If we want to match the form px + q = r exactly, we could multiply through by 2 to eliminate the fraction:

2*((1/2)x) + 2*10 = 2*30
x + 20 = 60

Here, p is 1, q is 20, and r is 60. This equation still represents the same relationship, just without fractions. The simpler form that matches exactly what was requested (px + q = r) is:

x + 20 = 60

Please note that "_x+10=30" is incorrect because it does not represent the problem correctly. We needed to include the fact that Arlene read half the number of pages Taylor read before adding the 10 pages.