Arlene read 30 pages. That is 10 pages more than half of the pages Taylor read. How many pages did Taylor read?

Question

Write an equation in the form px+q=r
to represent this problem.

(2 points)
__x + __ = __

Answer 1

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

According to the problem, half of the pages that Taylor read would be \( \frac{x}{2} \). Since Arlene read 30 pages, and this is 10 pages more than half of what Taylor read, we can set up the equation as follows:

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

To fit this in the form \( px + q = r \), we first rewrite the equation to isolate the variable \( x \).

First, subtract 10 from both sides:

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

Now we multiply both sides by 2 to eliminate the fraction:

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

Now let's express the original equation as required \( px + q = r \): Multiply the entire equation by 2 to eliminate the fraction:

\[ x + 20 = 60 \]

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

\[ 1x + 20 = 60 \]

So, the answer is:

1 + 20 = 60

Answer 2

no

Answer 3

I apologize for any confusion. Let's clarify and set up the equation correctly based on the information provided in the problem.

You've stated that Arlene read 30 pages, which is 10 pages more than half of what Taylor read.

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

According to the problem statement:

• Half of Taylor's pages is \( \frac{x}{2} \).
• Arlene's 30 pages is 10 pages more than this half.

We can express this as:

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

Rearranging this to match the form \( px + q = r \):

1. First, isolate \( \frac{x}{2} \) by subtracting 10 from both sides: \[ \frac{x}{2} = 30 - 10 \] \[ \frac{x}{2} = 20 \]

2. To eliminate the fraction, multiply everything by 2: \[ x = 40 \]

To summarize, the equation can also be rearranged for clarity, starting from: \[ \frac{x}{2} + 10 = 30 \]

Multiplying by 2 gives: \[ x + 20 = 60 \]

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

\[ 1x + 20 = 60 \]

Where:

• \( p = 1 \)
• \( q = 20 \)
• \( r = 60 \)

If this doesn't fit what you are looking for, please clarify, and I will assist you further.