To calculate the cost of each mechanical pencil, we first need to determine how much Mr. Spears can spend on the mechanical pencils after buying the erasers.
Let's denote the cost of each mechanical pencil as \( x \).
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Determine the total cost for the erasers: Since each eraser costs $0.50 and comes in bundles of 10, the cost for one bundle of erasers (10 erasers) is: \[ \text{Cost of erasers} = 10 \times 0.50 = 5 \]
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Calculate the remaining budget after buying erasers: \[ \text{Remaining budget} = \text{Total budget} - \text{Cost of erasers} = 25 - 5 = 20 \]
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Setting up the equation: If Mr. Spears buys \( y \) bundles of mechanical pencils, and \( x \) is the cost of each mechanical pencil, the total cost for \( y \) bundles (with each bundle containing 10 pencils) is: \[ \text{Total cost of mechanical pencils} = 10y \cdot x \]
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The total spending should not exceed the remaining budget, so we can write the equation as: \[ 10y \cdot x + 5 = 25 \]
Thus, without knowing \( y \) (the number of bundles of mechanical pencils he buys), the equation cannot be completed. However, from this logic, we can express the cost of each mechanical pencil \( x \) in terms of other variables,
If you provide additional information or the number of mechanical pencils he wishes to purchase, we can complete the equation to find the cost of each mechanical pencil accurately.
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