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's say Taylor read x pages.
Half of the pages Taylor read is x/2.
10 pages more than half of the pages Taylor read is (x/2) + 10.
So, the equation can be represented as:
30 = (x/2) + 10.
Let's assume that Taylor read x number of pages.
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.
So, the equation representing this problem is:
30 = (x/2) + 10
To simplify the equation, we can multiply each term by 2 to eliminate the fraction:
2 * 30 = 2 * ((x/2) + 10)
60 = x + 20
Thus, the equation in the form px + q = r representing this problem is:
x + 20 = 60
To solve this problem, we need to set up an equation based on the information given in the question.
Let's assume that Taylor read "x" number of pages. According to the question, Arlene read 10 pages more than half of the pages Taylor read.
Half of the pages Taylor read is x/2, and adding 10 to that gives us Arlene's total page count of (x/2) + 10.
Since Arlene read 30 pages, we can set up the equation:
(x/2) + 10 = 30
To write this equation in the form px + q = r, we can multiply both sides of the equation by 2 to eliminate the fraction:
2 * ((x/2) + 10) = 2 * 30
x + 20 = 60
Now, let's rearrange the equation by moving the constant to the other side:
x = 60 - 20
x = 40
So Taylor read 40 pages.
Thus, the equation in the form px + q = r representing this problem is 2x + 20 = 60.