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 more than half of the pages Taylor read is (x/2) + 10.
So the equation is:
(x/2) + 10 = 30
To determine the number of pages Taylor read, we need to set up an equation based on the given information.
Let's use the variable "x" to represent the number of pages Taylor read.
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 (1/2)*x.
10 pages more than that would be (1/2)*x + 10.
So, Arlene's 30 pages is equal to (1/2)*x + 10.
Putting it all together, we can write the equation as:
(1/2)*x + 10 = 30.
Multiplying through by 2 to get rid of the fraction, we get:
x + 20 = 60.
Subtracting 20 from both sides of the equation, we find:
x = 40.
Thus, Taylor read 40 pages.
The equation in the form px + q = r representing this problem is:
1/2*x + 10 = 30.
Let's assume that Taylor read x number of pages.
According to the given information, Arlene read 10 pages more than half of the pages Taylor read.
Half of the pages Taylor read is x/2.
So, Arlene read x/2 + 10 pages.
Arlene read a total of 30 pages.
Therefore, we can write the equation as:
x/2 + 10 = 30
Now, to put it in the form of px+q=r, we need to isolate x:
x/2 = 30 - 10
x/2 = 20
Multiplying both sides by 2:
x = 40
So, Taylor read 40 pages.
The equation in the form px+q=r is:
(1/2)x + 10 = 30