If 8.5 ounces of cheese is $3.50 then 10.3 ounces would cost (a1) dollars
The Correct Answer and Explanation is :
To find the cost of 10.3 ounces of cheese when 8.5 ounces costs $3.50, we can use a unit rate approach to determine the price per ounce and then calculate the cost for the desired amount.
Step 1: Calculate the Price per Ounce
First, we need to find the cost per ounce of cheese. We do this by dividing the total cost by the number of ounces:
[
\text{Price per ounce} = \frac{\text{Total Cost}}{\text{Number of Ounces}} = \frac{3.50}{8.5}
]
Calculating this gives us:
[
\text{Price per ounce} \approx 0.41176
]
Step 2: Calculate the Cost for 10.3 Ounces
Now that we know the price per ounce, we can calculate the cost for 10.3 ounces by multiplying the price per ounce by the number of ounces desired:
[
\text{Cost for 10.3 ounces} = \text{Price per ounce} \times \text{Number of Ounces} = 0.41176 \times 10.3
]
Calculating this gives us:
[
\text{Cost for 10.3 ounces} \approx 4.25
]
Thus, the cost of 10.3 ounces of cheese would be approximately $4.25.
Explanation
This calculation is based on the concept of unit pricing, which helps consumers understand how much they pay for a specific amount of a product. By determining the price per ounce, we can apply that same rate to any quantity, allowing for easy comparisons and cost estimates.
This method is particularly useful in grocery shopping and budgeting, as it enables consumers to determine if they are getting a good deal when purchasing different quantities or brands. Moreover, understanding these calculations can lead to more informed purchasing decisions, which can ultimately save money.
In summary, to find the cost of a different amount of cheese, you calculate the price per ounce based on a known quantity, then multiply that unit price by the desired quantity. This approach is not only simple but also effective for budgeting and shopping efficiently.