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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)
x
+
=
Remaining A what is befor x

5 answers

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

According to the problem, Arlene read 30 pages, and this is 10 pages more than half of what Taylor read. We can express this relationship with the following equation:

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

To rewrite this equation in the form \( px + q = r \), we need to isolate the term with \( x \).

Starting with:

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

Subtract 10 from both sides:

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

This simplifies to:

\[ 20 = \frac{1}{2}x \]

Next, to eliminate the fraction, multiply both sides by 2:

\[ 2 \cdot 20 = x \]

This gives us:

\[ 40 = x \]

So, Taylor read 40 pages.

In the form \( px + q = r \), we can write the equation as:

\[ \frac{1}{2}x - 20 = 0 \]

Where:

  • \( p = \frac{1}{2} \)
  • \( q = -20 \)
  • \( r = 0 \)

Thus, to fill in the blanks in your question, you would have:

  • what is before \( x \): \( \frac{1}{2} \)
  • remaining \( A = -20 \)
  • and \( = 0 \) as \( r \).
1/2 x + blank = blank

Given the equation we derived earlier, \( 30 = \frac{1}{2}x + 10 \), we need to rewrite this in the format you requested, \( \frac{1}{2}x + \text{blank} = \text{blank} \).

Starting with the equation:

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

We can rearrange it to fit the format:

Subtracting \( 10 \) from both sides gives:

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

This can be rewritten as:

\[ \frac{1}{2}x + (-10) = 20 \]

In this format:

  • The blank before \( x \) is \( -10 \).
  • The blank on the right side is \( 20 \).

So, the final statement is:

\[ \frac{1}{2}x + (-10) = 20 \]

To summarize:

  • \( \frac{1}{2} x + (-10) = 20 \)
no

Apologies for the confusion in my previous responses. Let's clearly identify the equation in the required format.

Starting from the original equation derived:

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

We want to express this equation in the form:

\[ \frac{1}{2}x + \text{blank} = \text{blank} \]

Starting from our original equation:

  1. We can subtract \( 10 \) from both sides to isolate the \(\frac{1}{2}x\) term.

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

    This simplifies to:

    \[ 20 = \frac{1}{2}x \]

  2. Now we need to rewrite it in the desired format:

    If we want \(\frac{1}{2}x + \text{blank} = \text{blank}\), we can rearrange the previous equation as:

    \[ \frac{1}{2}x + 0 = 20 \]

So, in this case:

  • The blank before \(x\) is \(0\).
  • The blank on the right side is \(20\).

Therefore, the equation in the form \( \frac{1}{2}x + \text{blank} = \text{blank} \) is:

\[ \frac{1}{2}x + 0 = 20 \]

Thank you for your patience, and I hope this clarifies the problem correctly!