To solve the questions, we need to break down the information for each box.
First Box
- Content: 5 large packages with 12 items each
- Total Items: 5 packages × 12 items/package = 60 items
- Price: $12
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Price per large package: \[ \text{Price per large package} = \frac{\text{Total Price}}{\text{Number of Large Packages}} = \frac{12}{5} = 2.40 \] Therefore, the price per large package is $2.40.
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Unit price of each item: \[ \text{Unit price per item} = \frac{\text{Total Price}}{\text{Total Items}} = \frac{12}{60} = 0.20 \] Therefore, the unit price of each item is $0.20.
Second Box
- Content: 30 individual packages with 5 items each
- Total Items: 30 packages × 5 items/package = 150 items
- Price: $15
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Price per individual package: \[ \text{Price per individual package} = \frac{\text{Total Price}}{\text{Number of Individual Packages}} = \frac{15}{30} = 0.50 \] Therefore, the price per individual package is $0.50.
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Unit price per item: \[ \text{Unit price per item} = \frac{\text{Total Price}}{\text{Total Items}} = \frac{15}{150} = 0.10 \] Therefore, the unit price per item is $0.10.
Comparison
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First Box:
- Price per large package: $2.40
- Unit price per item: $0.20
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Second Box:
- Price per individual package: $0.50
- Unit price per item: $0.10
Conclusion
The second box is the better buy because it has a lower unit price per item at $0.10 compared to the first box's $0.20.
Example of a Bulk Purchase
Let's say you find a product online, such as a pack of 24 toilet paper rolls:
- Price: $15 for 24 rolls
- Unit price per roll: \[ \text{Unit price per roll} = \frac{\text{Total Price}}{\text{Total Rolls}} = \frac{15}{24} \approx 0.625 \] Therefore, the unit price per roll is approximately $0.63.
By using this structure for your evaluations, you can compare various bulk products efficiently.