Questions: You purchase lentils in 10-pound bags for 4.20. How much would 1-ounce cost?

You purchase lentils in 10-pound bags for 4.20. How much would 1-ounce cost?
Transcript text: 2. You purchase lentils in 10 -pound bags for $\$ 4.20$. How much would 1 -ounce cost?
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Solution

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Solution Steps

To find the cost of 1 ounce of lentils, we need to first convert the 10-pound bag into ounces. Since there are 16 ounces in a pound, we multiply 10 pounds by 16 to get the total number of ounces. Then, we divide the total cost of the bag by the total number of ounces to find the cost per ounce.

Step 1: Calculate Total Ounces

To find the total number of ounces in a 10-pound bag, we use the conversion factor that \( 1 \text{ pound} = 16 \text{ ounces} \). Therefore, the total ounces in the bag is calculated as follows:

\[ \text{Total Ounces} = 10 \text{ pounds} \times 16 \text{ ounces/pound} = 160 \text{ ounces} \]

Step 2: Calculate Cost per Ounce

Next, we determine the cost per ounce by dividing the total cost of the bag by the total number of ounces:

\[ \text{Cost per Ounce} = \frac{4.20}{160} = 0.02625 \]

Final Answer

The cost of 1 ounce of lentils is \\(\boxed{0.0263}\\).

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