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 assume that Taylor read x pages.
From the given information, we know that Arlene read 10 pages more than half of the pages Taylor read.
Half of the pages Taylor read is (1/2)x. Adding 10 more pages to this gives us (1/2)x + 10.
We are told that Arlene read 30 pages, so we can set up the equation as follows:
(1/2)x + 10 = 30.
Thus, the equation in the form px + q = r is:
(1/2)x + 10 = 30.
Let's assume that Taylor read x number of pages.
Half of the pages Taylor read would be (1/2) * x = x/2.
If Arlene read 10 pages more than half of the pages Taylor read, then Arlene read (x/2) + 10 pages.
According to the problem, Arlene read a total of 30 pages.
Therefore, the equation in the form px + q = r is:
(x/2) + 10 = 30
To solve this problem, let's break it down step by step.
Step 1: Let's represent the number of pages Taylor read with the variable 'x'.
Step 2: The problem states that Arlene read 30 pages, which is 10 pages more than half of the pages Taylor read. So we can write an expression for the number of pages Arlene read as (1/2)x + 10.
Step 3: The problem also states that Arlene read 30 pages. So we can write an equation that equates the expression for Arlene's pages with 30, as follows:
(1/2)x + 10 = 30
Now, let's simplify this equation by getting rid of the fraction:
Multiply both sides of the equation by 2:
2 * ((1/2)x + 10) = 2 * 30
This simplifies to:
x + 20 = 60
Finally, we can rewrite this equation in the form 'px + q = r':
1x + 20 = 60
Therefore, the equation in the form 'px + q = r' that represents this problem is:
x + 20 = 60