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) what would the expression be
Let's assume 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.
Since Arlene read 30 pages, the equation is: x/2 + 10 = 30.
Let's assume the number of pages Taylor read as "x".
According to the problem, "Arlene read 30 pages." So, if we denote Arlene's page count as "A," then A = 30.
We are also given that Arlene read "10 pages more than half of the pages Taylor read."
Half of the pages Taylor read is (1/2)x, and adding 10 to that gives us:
A = (1/2)x + 10
Now we can write this equation in the form px + q = r:
(1/2)x + 10 = 30
Let's break down the problem to understand it better.
We are given that Arlene read 30 pages, which is 10 pages more than half of the pages Taylor read. Let's assume Taylor read 'x' pages.
Half of the pages Taylor read would be (1/2) * x.
The problem states that Arlene read 10 pages more than half of the pages Taylor read, so we add 10 to (1/2) * x.
We can write this information as an equation: Arlene's pages = Taylor's pages / 2 + 10.
Using the values given, the equation can be written as:
30 = (1/2) * x + 10
To put it in the form px + q = r, we can move the constant term (10) to the other side of the equation:
(1/2) * x = 30 - 10
(1/2) * x = 20
Now, we have the equation:
(1/2) * x = 20
Multiply both sides of the equation by 2 to eliminate the fraction:
x = 20 * 2
Simplifying, we find that x = 40.
The expression to represent the number of pages Taylor read would be: 40.