Ron is nailing three boards of the same thickness together. If the total thickness of the nailed boards is 4.5 in., what is the thickness of each board?
Show work and a variable
Let x = the thickness of each board
x + x + x = 4.5
3x = 4.5
x = 4.5/3
x = 1.5 in.
Let's assume the thickness of each board is represented by the variable "x".
Since Ron is nailing three boards together, the total thickness would be the sum of the thickness of each board: 3x.
According to the information given, the total thickness of the nailed boards is 4.5 inches.
Therefore, we can set up the equation: 3x = 4.5.
To find the value of "x", we need to solve this equation.
Divide both sides of the equation by 3 to isolate the variable:
3x/3 = 4.5/3.
Simplifying further:
x = 1.5.
So, the thickness of each board is 1.5 inches.
Let's use a variable to represent the thickness of each board. Let's say the thickness of each board is represented by 'x' (in inches).
Since Ron is nailing three boards together, the total thickness would be the sum of the thickness of each board, which is 3x.
Given that the total thickness of the nailed boards is 4.5 inches, we can write the equation:
3x = 4.5
To find the value of 'x', we will divide both sides of the equation by 3:
3x/3 = 4.5/3
This simplifies to:
x = 1.5
Therefore, each board has a thickness of 1.5 inches.