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 penci
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To compute the cost of each mechanical pencil, we need to gather some additional information. Specifically, we need to know the cost of a bundle of 10 mechanical pencils. Once we have that information, we can proceed with the calculation.
The missing place in the equation would be the cost of each mechanical pencil. Since Mr. Spears had $25 to spend and the cost of each eraser is $0.50, we can subtract the total cost of erasers from $25 to determine how much money is left for the mechanical pencils.
Let's assume the total cost of erasers Mr. Spears purchased is E.
E = (number of bundles of erasers) * (cost of each bundle of erasers)
E = (number of bundles of erasers) * ($0.50)
We know that each bundle of erasers contains 10 erasers. Let's assume the number of bundles of erasers Mr. Spears purchased is B.
So E = B * $0.50
Since Mr. Spears had $25 to spend, we can subtract the total cost of erasers from $25 to determine how much money is left for the mechanical pencils:
$25 - E
Substituting the value of E, we get:
$25 - (B * $0.50)
Simplifying the expression further, we have:
$25 - $0.50B
Therefore, the missing place in the equation would be $0.50B.
To compute the cost of each mechanical pencil, we need to gather some additional information. The given information tells us that each eraser costs $0.50, but it does not provide the cost of a bundle of 10 mechanical pencils.
Let's assume that the cost of a bundle of 10 mechanical pencils is represented by the variable "x."
Now, let's create an equation to find the cost of each mechanical pencil:
Cost of each mechanical pencil = Total cost of bundle of 10 pencils / Number of pencils in a bundle
The total cost of a bundle of 10 pencils can be obtained by multiplying the cost of each pencil by the number of pencils in the bundle. So the equation becomes:
Cost of each mechanical pencil = (x / 10)
Since we know that Mr. Spears had $25 to spend, we can set up another equation to represent this:
Total money spent = Cost of erasers + Cost of mechanical pencils
Since each eraser costs $0.50 and we don't know the specific cost of each pencil, the equation becomes:
25 = 0.50 + (x / 10)
To solve for the missing cost, we'll isolate the variable x by subtracting 0.50 from both sides of the equation:
25 - 0.50 = x / 10
Simplifying further, we get:
24.50 = x / 10
To solve for x, we'll multiply both sides by 10:
24.50 * 10 = x
Therefore, the cost of a bundle of 10 mechanical pencils, x, is $245.
Finally, we can find the cost of each mechanical pencil by dividing the cost of the bundle by the number of pencils:
Cost of each mechanical pencil = (245 / 10) = $24.50
Apologies for the confusion. Let's go back and compute the cost of each mechanical pencil, assuming we have all the other necessary information.
If Mr. Spears had $25 to spend and the cost of each eraser is $0.50, we can subtract the total cost of erasers from $25 to determine how much money is left for the mechanical pencils.
Let's say Mr. Spears purchased E bundles of erasers, and the cost of each bundle is represented by the variable "c".
The total cost of erasers would be the product of the number of bundles and the cost of each bundle:
Total cost of erasers = E * c
Since each bundle contains 10 erasers and the cost of each eraser is $0.50, the equation becomes:
Total cost of erasers = E * (10 * $0.50)
Total cost of erasers = E * $5
To determine the money left for mechanical pencils, we subtract the total cost of erasers from $25:
Money left for mechanical pencils = $25 - (E * $5)
Now, let's assume the number of mechanical pencil bundles Mr. Spears purchased is represented by the variable "B". The cost of each bundle of mechanical pencils can be represented by the variable "x".
The total cost of mechanical pencils can be obtained by multiplying the cost of each pencil bundle by the number of pencil bundles:
Total cost of mechanical pencils = B * x
Since each bundle of mechanical pencils contains 10 pencils, the equation becomes:
Total cost of mechanical pencils = B * (10 * x)
Total cost of mechanical pencils = B * 10x
Since we want to find the cost of each mechanical pencil, we divide the total cost of mechanical pencils by the total number of pencils:
Cost of each mechanical pencil = (Total cost of mechanical pencils) / (Total number of pencils)
Total number of pencils = E * 10 + B * 10
Plugging in the given values and using the information from above, we can calculate the cost of each mechanical pencil. However, we need to know the cost of each bundle of mechanical pencils (represented by "x") in order to continue the computation.