Answer :
Final answer:
After calculating with an 81% yield, you would need to start with approximately 217.28 ounces, or 13.58 pounds of broccoli. The correct option is a) 14
Explanation:
To determine how many pounds of broccoli should be purchased to get a desired edible portion of 176 ounces, given an 81% yield, you can set up a proportion. Since yield is the percentage of the initial weight that is usable after preparation, we can write an equation:
81% of total weight = 176 ounces
To find the total weight in ounces before cooking/preparation (which is 100% of the weight), the equation would be:
(total weight)x81% = 176 ounces
First, convert the percentage into decimal form:
81% = 0.81
Then solve for the total weight (TW) in ounces:
TWx0.81 = 176 ounces
TW = 176 / 0.81
TW ≈ 217.28 ounces
Since the weight should be calculated in pounds and there are 16 ounces in a pound, convert the total weight to pounds:
217.28 ounces / 16 ounces/pound ≈ 13.58 pounds
However, as we need to purchase an integer number of pounds and cannot purchase a fraction of a pound, it's necessary to round up, hence you'd need to purchase 14 pounds of broccoli.
The correct option is a) 14
