To determine the best size container for Camillo to buy, we will first calculate how many ounces are in each container size, and then how many containers he would need to buy to meet the requirement of 2,400 ounces of peanut butter. Finally, we will calculate the cost for those containers.
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Container Sizes and Prices
- 12 ounces: $2.52
- 16 ounces: $4.00
- 32 ounces: $5.12
- 40 ounces: $12.40
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Calculating the Number of Containers Needed
To find out how many containers Camillo needs for each size, we divide 2,400 ounces by the size of each container.
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For 12-ounce containers: \[ \text{Number of containers} = \frac{2400 \text{ oz}}{12 \text{ oz/container}} = 200 \text{ containers} \]
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For 16-ounce containers: \[ \text{Number of containers} = \frac{2400 \text{ oz}}{16 \text{ oz/container}} = 150 \text{ containers} \]
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For 32-ounce containers: \[ \text{Number of containers} = \frac{2400 \text{ oz}}{32 \text{ oz/container}} = 75 \text{ containers} \]
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For 40-ounce containers: \[ \text{Number of containers} = \frac{2400 \text{ oz}}{40 \text{ oz/container}} = 60 \text{ containers} \]
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Calculating the Total Cost for Each Container Size
Next, we calculate the total cost for each size of container.
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12-ounce containers: \[ \text{Total cost} = 200 \text{ containers} \times 2.52 = 504 \text{ dollars} \]
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16-ounce containers: \[ \text{Total cost} = 150 \text{ containers} \times 4.00 = 600 \text{ dollars} \]
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32-ounce containers: \[ \text{Total cost} = 75 \text{ containers} \times 5.12 = 384 \text{ dollars} \]
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40-ounce containers: \[ \text{Total cost} = 60 \text{ containers} \times 12.40 = 744 \text{ dollars} \]
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Finding the Best Option
Now we summarize the total costs:
- 12-ounce containers: $504
- 16-ounce containers: $600
- 32-ounce containers: $384
- 40-ounce containers: $744
Best option: The 32-ounce container is the cheapest option, costing a total of $384.
Summary:
- Container Size: 32 ounces
- Number of containers needed: 75
- Total cost: $384