a photo is 6 inches wide. it is placed inside a frame with a border that is x inches wide. the total width of the photo and the frame is 9 inches. write an equation to model the situation, then solve the equation to find the width of the border.

Answer 1

Let's assume the width of the border is x inches.

The total width of the photo and the frame can be calculated by adding the width of the photo and twice the width of the border:

6 + 2x

According to the given information, the total width of the photo and the frame is 9 inches. We can set up the following equation:

6 + 2x = 9

Now, we can solve the equation to find the width of the border:

6 + 2x = 9
Subtract 6 from both sides: 2x = 3
Divide both sides by 2: x = 1.5

Therefore, the width of the border is 1.5 inches.