Question

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)

Answer 1

that is incorect

Answer 2

Let's denote the number of pages Taylor read as \( x \).

According to the problem, half of the pages Taylor read would be \( \frac{x}{2} \). The problem states that Arlene read 30 pages, which is 10 pages more than half of what Taylor read. This can be expressed with the equation:

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

To write this in the form \( px + q = r \), we can rearrange it as follows:

1. Subtract 10 from both sides:
\[
30 - 10 = \frac{x}{2}
\]
\[
20 = \frac{x}{2}
\]

2. Multiply both sides by 2 to eliminate the fraction:
\[
40 = x
\]

Now, we can express the equation in the desired form:
\[
- x + 40 = 0
\]

Thus, the equation in the form \( px + q = r \) that describes the situation is:

\[
x - 40 = 0
\]

So, \( p = 1 \), \( q = -40 \), and \( r = 0 \). Therefore, Taylor read 40 pages.

Answer 3

Let's reevaluate the problem step-by-step and set up the correct equation.

We are given that Arlene read 30 pages, and that this amount is 10 pages more than half of the pages Taylor read.

We can denote the number of pages Taylor read as \( x \).

From the information given, we can express the relationship with the equation:

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

Now, let's rearrange the equation to get it into the form \( px + q = r \):

1. Subtract 10 from both sides:
\[
30 - 10 = \frac{x}{2}
\]
\[
20 = \frac{x}{2}
\]

2. Multiply both sides by 2 to get rid of the fraction:
\[
40 = x
\]

Now, if we want to write this in the form \( px + q = r \):

We can rewrite this as:
\[
x - 40 = 0
\]

To summarize:
- The number of pages Taylor read is \( 40 \) pages.
- The equation representing the problem is:

\[
x - 40 = 0
\]

If you are looking for a different format or misunderstood the equation structure, please clarify and I'll be glad to help further!