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 inches.
Since the total width of the photo and the frame is 7 inches, and the photo is 4 inches wide, the width of the frame must be (7 - 4) = 3 inches.
Therefore, the equation to model the situation is:
4 + 3x = 7.
To solve the equation, we can subtract 4 from both sides:
3x = 3.
Finally, we can divide both sides by 3 to solve for x:
x = 1.
Therefore, the width of the border is 1 inch.
To solve this problem, we need to set up an equation based on the given information.
Let's denote the width of the border as "x" (in inches).
The width of the photo is 4 inches, and when we add the width of the border (x inches) to the photo's width, the total width becomes 7 inches.
So, the equation to model the situation is:
4 + x = 7
Now, let's solve this equation to find the width of the border:
To isolate "x", we can subtract 4 from both sides of the equation:
x = 7 - 4
Simplifying,
x = 3
Therefore, the width of the border is 3 inches.
To model the situation, we can use the equation:
4 + 2x = 7
Here's how we derived this equation:
The width of the photo is given as 4 inches.
The width of the frame is represented by x inches.
We need to calculate the total width of the photo and the frame, which is given as 7 inches.
To calculate the total width, we add the width of the photo to twice the width of the frame (since there are two sides of the frame, one on each side of the photo).
Solving the equation:
4 + 2x = 7
We subtract 4 from both sides to isolate the term with x:
2x = 3
Finally, we divide both sides by 2 to solve for x:
x = 3/2 = 1.5
So, the width of the border (frame) is 1.5 inches.