Question

arlene read 30 pages, thats 10 more pages than half of the pages taylor read. how many pages did taylor read?
write an equation and solve

Answer 1

Let \( x \) represent the number of pages Taylor read. According to the problem, Arlene read 30 pages, which is 10 more than half of the pages Taylor read. This can be written as the equation:

\[
30 = \frac{1}{2}x + 10
\]

Now, let's solve for \( x \):

1. Subtract 10 from both sides:

\[
30 - 10 = \frac{1}{2}x
\]
\[
20 = \frac{1}{2}x
\]

2. Multiply both sides by 2 to eliminate the fraction:

\[
2 \times 20 = x
\]
\[
40 = x
\]

So, Taylor read \( \boxed{40} \) pages.