A photo is 4 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 7 inches. Write an equation to model the situation, then solve the equation to find the width of the border...
Let's call the width of the border "x". The total width of the photo and the frame is 7 inches, so the width of the photo (4 inches) plus the width of the border equals 7 inches.
Therefore, the equation to model the situation is: 4 + x = 7.
To solve the equation for the width of the border, let's isolate "x" by subtracting 4 from both sides of the equation:
4 + x - 4 = 7 - 4.
This simplifies to:
x = 3.
Therefore, the width of the border is 3 inches.
Let's call the width of the border "b".
According to the problem, the total width of the photo and the frame is 7 inches. Since the photo is 4 inches wide, the width of the frame can be calculated by subtracting the width of the photo from the total width:
Width of the frame = Total width - Width of the photo
b = 7 - 4
b = 3
Therefore, the width of the border is 3 inches.
To solve this problem, we can start by setting up an equation to represent the situation. Let's call the width of the frame border "x".
The total width of the photo and the frame is 7 inches, so we can express this as:
Photo width + Frame border width + Photo width = Total width
Since the photo is 4 inches wide, this equation can be written as:
4 + x + 4 = 7
Simplifying the equation, we combine like terms:
8 + x = 7
To solve for "x", we can subtract 8 from both sides of the equation:
x = 7 - 8
Simplifying further, we get:
x = -1
Therefore, the width of the border (x) is -1 inch. However, in the real-world context, we cannot have a negative width for the border, so it implies that there might be an error or an inconsistency in the given information.