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) ? x ? + =
Let's represent the number of pages that Taylor read with the variable "x".
According to the problem, Arlene read 30 pages, which is 10 more than half of the pages Taylor read.
Half of the pages Taylor read is represented by "x/2".
Therefore, the equation can be written as:
30 = (x/2) + 10
So, the equation in the form px + q = r is:
(1/2)x + 10 = 30
Let's say Taylor read x number of pages.
According to the problem, half of the pages Taylor read is (x/2).
10 pages more than half of the pages Taylor read is (x/2) + 10.
Therefore, we can write the equation as: (x/2) + 10 = 30.
To solve this problem, let's assign a variable to represent the number of pages Taylor read. Let's call it "x".
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 would be represented by "(1/2)x", and since Arlene read 10 pages more, we can express that as "(1/2)x + 10".
So, Arlene read 30 pages, which is equal to "(1/2)x + 10".
Writing this as an equation in the form "px + q = r", we have:
(1/2)x + 10 = 30
Multiplying both sides of the equation by 2 to eliminate the fraction:
2 * ((1/2)x + 10) = 2 * 30
x + 20 = 60
Finally, rearranging the equation to fit the desired form:
x + 20 - 20 = 60 - 20
x = 40
Therefore, Taylor read 40 pages.