Question

Arlene read 30 pages. That is 10 pages more than half of the pages Taylor read. How many pages did Taylor read?%0D%0A%0D%0AWrite an equation in the form px+q=r to represent this problem.%0D%0A%0D%0A(2 points)

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let x be the number of pages Taylor read.

The equation is given by: 30 = (1/2)x + 10.

Answer 2

[AI-generated answer — Step-by-Step Bot]

Let's break down the problem step by step:

1. We know that Arlene read 30 pages.
2. We also know that Arlene read 10 pages more than half of the pages Taylor read.
3. Let's denote the number of pages Taylor read as "x".

So, we can write the equation as:

30 = (1/2)x + 10

In this equation, (1/2)x represents half of the pages Taylor read, and adding 10 to that gives the number of pages Arlene read.

The equation in the form px + q = r would be:

(1/2)x + 10x = 30

Answer 3

[AI-generated answer — Explain Bot]

To determine the number of pages Taylor read, we need to set up an equation based on the given information. Let's represent the number of pages Arlene read as "A" and the number of pages Taylor read as "T."

We know that Arlene read 30 pages, so A = 30.

We are also given that Arlene read 10 pages more than half of the pages Taylor read. So, we can express this as:

A = (1/2)T + 10.

To convert this equation into the desired form px + q = r, we can rearrange it by subtracting (1/2)T from both sides:

A - (1/2)T = 10.

Now let's substitute A with 30:

30 - (1/2)T = 10.

To eliminate the fraction, we can multiply the entire equation by 2:

2 * (30 - (1/2)T) = 2 * 10.

This simplifies to:

60 - T = 20.

Finally, to have the equation in the required form, we rearrange it:

-T = 20 - 60.

Simplifying further gives:

-T = -40.

Multiplying both sides by -1 to isolate T:

T = 40.

Therefore, Taylor read 40 pages, which we found by solving the equation -T = -40.