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.
4+2x=7
To model the situation, we can create the equation:
width of the photo + width of the border + width of the border = total width
Since the photo is 4 inches wide and the total width (including the frame) is 7 inches, we can substitute these values into the equation:
4 + x + x = 7
Next, we can simplify the equation:
4 + 2x = 7
To isolate the variable, we can subtract 4 from both sides:
2x = 3
Finally, we can solve for x by dividing both sides by 2:
x = 3/2
Therefore, the width of the border is 1.5 inches.