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 represent this problem.

Question

_x+_=_

Answer 1

Let's assume the number of pages Taylor read is x.

According to the problem, Arlene read 10 pages more than half of the pages Taylor read, so half of the pages Taylor read is x/2. Arlene read 10 pages more than that, so Arlene read (x/2) + 10 pages.

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

Simplifying the equation:
x/2 + x = 30 - 10
x/2 + x = 20

Multiplying the equation by 2 to eliminate the fraction:
2(x/2 + x) = 2(20)
x + 2x = 40

Combining like terms:
3x = 40

Now we have the equation in the form px + q = r:
3x - 40 = 0