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 represent this problem.
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Let's assume the number of pages Taylor read is x.
According to the problem, Arlene read 10 pages more than half of the pages Taylor read, so half of the pages Taylor read is x/2. Arlene read 10 pages more than that, so Arlene read (x/2) + 10 pages.
We can now write the equation:
(x/2) + 10 + x = 30
Simplifying the equation:
x/2 + x = 30 - 10
x/2 + x = 20
Multiplying the equation by 2 to eliminate the fraction:
2(x/2 + x) = 2(20)
x + 2x = 40
Combining like terms:
3x = 40
Now we have the equation in the form px + q = r:
3x - 40 = 0
To write an equation to represent the 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: We know that Arlene read 10 pages more than half of the pages Taylor read. Half of the pages Taylor read would be (1/2)x, and 10 pages more than that would be (1/2)x + 10.
Step 3: Arlene read a total of 30 pages. So, we can set up the equation:
(1/2)x + 10 = 30
Step 4: Simplify the equation:
Multiply the (1/2) by x: (1/2)x + 10 = 30
Now we have the equation in the form:
px + q = r
So, the equation representing this problem is:
(1/2)x + 10 = 30
or
(1/2)x = 30 - 10
Simplifying further, we get:
(1/2)x = 20
Let x represent the number of pages Taylor read.
We know that Arlene read 30 pages, which is 10 pages more than half of the pages Taylor read. Half of the pages Taylor read can be represented as 0.5x. So, 10 pages more than that would be 0.5x + 10.
Therefore, the equation that represents this problem is:
0.5x + 10 = 30