The height of Liliana’s picture frame is 18 inches. The frame and blue matting take up 4.5 inches of the height. Liliana wants to know the height of a picture that will fit in the remaining height of the frame. Which equation and solution can be used to solve this problem?

Question

A picture frame with a height of 18 inches.
,
p minus 4.5 = 18: Add 4.5 to the left side and subtract 4.5 from the right side of the equation. The answer is 13.5 inches.
18 + p = 4.5: Subtract 4.5 from both sides. The answer is 13.5 inches.
p + 4.5 = 18: Subtract 4.5 from both sides. The answer is 13.5 inches.
18 + 4.5 = p: Subtract 4.5 from the left side. The answer is 13.5 inches.

Answer 1

To find the height of the picture that will fit in the remaining height of the frame, you can formulate the problem with the following equation:

Let \( p \) represent the height of the picture.

The total height of the frame is 18 inches, and the frame and blue matting take up 4.5 inches. So, the height of the picture can be represented as:

\[ p + 4.5 = 18 \]

To solve for \( p \), you would subtract 4.5 from both sides:

\[ p = 18 - 4.5 \]

Calculating that gives:

\[ p = 13.5 \]

Thus, the height of the picture that will fit in the frame is 13.5 inches.

The correct equation is:

\( p + 4.5 = 18 \), which gives a solution of 13.5 inches for the height of the picture.