Answer :
To solve the problem of finding out how much you'll need to spend on potatoes, let's break it down step-by-step:
1. Determine the Yield: The recipe specifies that you require 6 pounds of peeled and diced potatoes. However, the yield is 85%. Yield represents the portion of the purchased product that is usable after processing; for peeled and diced potatoes, this is 85%.
2. Calculate Required Purchase: Since you need 6 pounds of usable potatoes with an 85% yield, you need to determine how many pounds of whole potatoes you'll need to buy. This is calculated as:
[tex]\[
\text{Weight to purchase} = \frac{\text{Required weight}}{\text{Yield percent}} = \frac{6 \text{ pounds}}{0.85}
\][/tex]
Which gives approximately 7.06 pounds.
3. Calculate the Cost: Potatoes cost [tex]$0.45 per pound. To find the total cost, multiply the amount you need to purchase by the cost per pound:
\[
\text{Total cost} = \text{Weight to purchase} \times \text{Cost per pound} = 7.06 \times 0.45
\]
This results in approximately $[/tex]3.18.
4. Rounding Up: Since we are asked to round the cost up to the next highest cent, the total cost needed is [tex]$3.18.
Therefore, the correct choice is:
c. $[/tex]3.18
1. Determine the Yield: The recipe specifies that you require 6 pounds of peeled and diced potatoes. However, the yield is 85%. Yield represents the portion of the purchased product that is usable after processing; for peeled and diced potatoes, this is 85%.
2. Calculate Required Purchase: Since you need 6 pounds of usable potatoes with an 85% yield, you need to determine how many pounds of whole potatoes you'll need to buy. This is calculated as:
[tex]\[
\text{Weight to purchase} = \frac{\text{Required weight}}{\text{Yield percent}} = \frac{6 \text{ pounds}}{0.85}
\][/tex]
Which gives approximately 7.06 pounds.
3. Calculate the Cost: Potatoes cost [tex]$0.45 per pound. To find the total cost, multiply the amount you need to purchase by the cost per pound:
\[
\text{Total cost} = \text{Weight to purchase} \times \text{Cost per pound} = 7.06 \times 0.45
\]
This results in approximately $[/tex]3.18.
4. Rounding Up: Since we are asked to round the cost up to the next highest cent, the total cost needed is [tex]$3.18.
Therefore, the correct choice is:
c. $[/tex]3.18