Arlene read 30 pages. That is 10 pages more than half of the pages Taylor read. How many pages did Taylor read?
Let x be the number of pages Taylor read
Half the number of pages Taylor read is x/2
Arlene = (x/2) + 10
30 = (x/2) + 10
20 = x/2
40 = x
Taylor read 40 pages. Answer: \boxed{40}.
Let's use algebra to solve this problem.
Let's say the number of pages Taylor read is 'x'.
According to the problem, Arlene read 30 pages, which is 10 more than half of the pages Taylor read.
So, we can write the equation as:
30 = (1/2)x + 10
To find how many pages Taylor read, we need to solve this equation for 'x'.
Subtract 10 from both sides of the equation:
30 - 10 = (1/2)x
Simplify the left side:
20 = (1/2)x
Multiply both sides by 2 to get rid of the fraction:
2 * 20 = 2 * (1/2)x
40 = x
Therefore, Taylor read 40 pages.
To find out how many pages Taylor read, we need to follow these steps:
1. Start by assigning a variable to the unknown value. Let's say Taylor read x pages.
2. According to the given information, Arlene read 30 pages.
3. It is stated that Arlene's number of pages is 10 more than half of Taylor's pages. So, half of Taylor's pages is (x/2) and adding 10 to that gives us the number of pages Arlene read.
4. Now we can set up the equation: (x/2) + 10 = 30.
5. To solve the equation, subtract 10 from both sides: (x/2) = 20.
6. Multiply both sides by 2 to isolate x: x = 40.
Therefore, Taylor read 40 pages.