Mr. Spears was purchasing supplies for his math classroom. He had $25 to spend. Mechanical pencils and erasers come in bundles of 10. Each eraser costs $0.50. Fill in the missing place in the equation to compute the cost of each mechanical pencil.(1 point)
___(x + 0.50)=25
Let's assume the cost of each mechanical pencil is x.
So, the cost of each bundle of mechanical pencils is 10x.
The cost of each eraser is $0.50.
The total cost of all the mechanical pencils and erasers = $25.
So the equation becomes:
10x + 0.50 = 25
Now, we can solve for x.
To determine the cost of each mechanical pencil, we need to solve the equation: ___(x + 0.50) = 25
First, let's simplify the equation. We can distribute the value inside the parentheses by multiplying the x and 0.50 separately:
(x * ___) + (0.50 * ___) = 25
This simplifies to:
x + 0.50 = 25
To isolate the variable, we need to get rid of the 0.50 on the left side of the equation. We can do this by subtracting 0.50 from both sides:
(x + 0.50) - 0.50 = 25 - 0.50
This simplifies to:
x = 24.50
Therefore, the cost of each mechanical pencil is $24.50.
To solve for the missing variable (the cost of each mechanical pencil, denoted as x in the equation), we can follow these steps:
1. Start with the given equation: ___(x + 0.50) = 25
2. Distribute the coefficients on the left side of the equation:
10x + 5 = 25
3. Subtract 5 from both sides of the equation to isolate the term with x:
10x = 25 - 5
10x = 20
4. Divide both sides of the equation by 10 to solve for x:
x = 20 / 10
x = 2
Therefore, the cost of each mechanical pencil is $2.