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.
Let x be the number of pages Taylor read.
The equation is 30 = (x/2 + 10)
Multiplying 2 through the parentheses, we get 60 = x + 20
Subtracting 20 from both sides of the equation, we get 40 = x
Therefore, Taylor read 40 pages.
Let's represent the number of pages Taylor read as "x". According to the problem, Arlene read 30 pages, which is 10 pages more than half of what Taylor read.
Half of the pages Taylor read is (1/2)x, and 10 pages more than that is (1/2)x + 10. Therefore, we can write the equation as:
(1/2)x + 10 = 30
So, the equation in the form px + q = r is:
(1/2)x + 10 = 30
To solve this problem and write an equation in the form px+q=r, let's break down the information given.
We know that Arlene read 30 pages, and that is 10 pages more than half of the pages Taylor read. To find out the number of pages Taylor read, we need to calculate half of Taylor's pages first.
Let's use the variable "T" to represent the number of pages Taylor read.
Half of Taylor's pages can be represented by T/2.
According to the problem, Arlene read 10 pages more than half of Taylor's pages, which can be represented by T/2 + 10.
The equation to represent this problem in the form px + q = r is:
T/2 + 10 = 30
To solve this equation, we need to isolate T by bringing 10 to the other side:
T/2 = 30 - 10
T/2 = 20
To remove the fraction, we can multiply both sides by 2:
2 * (T/2) = 2 * 20
T = 40
Therefore, Taylor read 40 pages.