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. (1 point)
The width of the border is x inches. With the border, the total width of the photo and the frame is 4 inches + x inches + x inches = 7 inches.
This can be written as the equation: 4 + 2x = 7.
To solve for x, we subtract 4 from both sides: 2x = 3.
Then we divide both sides by 2: x = 1.5 inches.
Therefore, the width of the border is 1.5 inches.
Let's assign the variable "b" to represent the width of the border.
The width of the photo is 4 inches, and when we add the width of the border (b) on both sides, the total width becomes (4 + b + b) inches.
According to the problem, the total width of the photo and the frame is 7 inches.
So, we can write the equation as:
4 + b + b = 7
Now, we can solve this equation to find the width of the border (b).
Combining like terms, we get:
4 + 2b = 7
Subtracting 4 from both sides:
2b = 7 - 4
2b = 3
Dividing both sides by 2:
b = 3/2
Therefore, the width of the border is 1.5 inches.
To write an equation to model the situation, we need to consider the width of the photo, the width of the border, and the total width of the photo and the frame.
Let's denote the width of the border as x inches.
The total width of the photo and the frame is the width of the photo plus the width of the border. In this case, it is given that the total width is 7 inches.
So, we can write the equation as:
4 inches (width of the photo) + x inches (width of the border) = 7 inches
To solve the equation, we can isolate the variable x:
x inches = 7 inches - 4 inches
x inches = 3 inches
Therefore, the width of the border is 3 inches.