This package of cheese costs $2.97. How much would a package with 18 slices cost at the same price per slice? Explain or show your reasoning.
Understand the Problem
The question is asking how much a package of cheese with 18 slices would cost, given that a package of 11 slices costs $2.97. It requires a calculation based on the price per slice.
Answer
The cost for 18 slices is approximately $4.88.
Answer for screen readers
The cost for a package with 18 slices would be approximately $4.88.
Steps to Solve
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Calculate the price per slice
First, find the price of one slice of cheese by dividing the total cost of the package by the number of slices in the package.
[ \text{Price per slice} = \frac{\text{Total cost}}{\text{Number of slices}} = \frac{2.97}{11} \approx 0.2709 ]
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Determine the total cost for 18 slices
Next, to find out how much 18 slices would cost, multiply the price per slice by 18.
[ \text{Total cost for 18 slices} = \text{Price per slice} \times 18 = 0.2709 \times 18 \approx 4.88 ]
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Final Calculation
Therefore, the cost for the package with 18 slices can be calculated as follows:
[ \text{Cost for 18 slices} \approx 4.88 ]
The cost for a package with 18 slices would be approximately $4.88.
More Information
Using unit pricing helps consumers understand the value of products by calculating the cost per unit. In this case, knowing the price per slice allows direct comparison for different package sizes.
Tips
- Mistake in calculation: Forgetting to divide the total cost by the number of slices to find the price per slice.
- Multiplication error: Incorrectly multiplying the price per slice by the number of slices (18). This can lead to incorrect total costs.
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