Answer :
In this case, the number of 125 g portions of eggplant that can be obtained from 16 eggplants with a yield percentage of 95% is 137
The correct answer is: b. 137
To determine how many 125 g portions of eggplant can be obtained from 16 eggplants weighing 1.125 kg each, given a yield percentage of 95%, we follow these steps:
1. Convert the weight of one eggplant to grams:
1.125 kg = 1125 g
2. Calculate the total weight of 16 eggplants:
Total weight = 1125 g * 16 = 18000 g
3. Calculate the weight of eggplant after considering the yield percentage:
Weight after yield = 18000 g * 0.95 = 17100 g
4. Determine the number of 125 g portions that can be obtained:
Number of portions = Weight after yield / 125 g = 17100 g / 125 g = 136.8
Since we cannot have a fraction of a portion, the closest whole number is 137.
Therefore, the correct answer is: b. 137
The correct answer is: c. 152
Given that each eggplant weighs 1.125 kg and the yield percentage is 95%, we need to calculate the total weight of eggplants that will be available after considering the yield.
1. Calculate the total weight of the 16 eggplants:
[tex]\[ \text{Total weight of 16 eggplants} = 16 \times 1.125 \, \text{kg} = 18 \, \text{kg} \][/tex]
2. Calculate the total weight of eggplants considering the yield percentage:
[tex]\[ \text{Total usable weight} = 18 \, \text{kg} \times \frac{95}{100} = 17.1 \, \text{kg} \][/tex]
3. Now, divide the total usable weight by the weight of each portion (125 g):
[tex]\[ \text{Number of portions} = \frac{17.1 \, \text{kg}}{0.125 \, \text{kg}} \]\[ \text{Number of portions} = \frac{17100 \, \text{g}}{125 \, \text{g}} \]\[ \text{Number of portions} \approx 136.8 \][/tex]
Since we cannot have a fraction of a portion, we round this to the nearest whole number.
Therefore, the number of 125 g portions of eggplant that can be obtained from 16 eggplants is approximately 137.
The correct answer is: c. 152
