Unit 7 lesson 7 Problem solving with Two-step Equation

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 p×+q=r to represent this problem.

1 answer

Let x represent the number of pages Taylor read.

According to the problem, Arlene read 30 pages, which is 10 pages more than half of the pages Taylor read.

Half of the pages Taylor read is x/2.
10 pages more than half of the pages Taylor read is (x/2) + 10.

We can write the equation as:
(x/2) + 10 = 30

Simplifying the equation, we get:
x/2 = 30 - 10
x/2 = 20

Multiplying both sides of the equation by 2, we get:
x = 40

Therefore, Taylor read 40 pages.