Answer :
Answer:
You would need 441.379 pounds of fresh apples
Step-by-step explanation:
After drying, each apple retains 29% (100%-71%) of its weight.
[tex](0.29)A=128\\A = \frac{128}{0.29}\\ A = 441.3793[/tex]
Final answer:
To get 128 lb of dried apples, when apples lose 71% of their weight during drying, one would need to pick approximately 441.38 pounds of fresh apples.
Explanation:
Calculating the Weight of Fresh Apples Needed
If apples lose 71% of their weight while drying, to obtain 128 lb of dried apples, you need to start with the original weight before the weight loss. Since 71% of the weight is lost, this means that the remaining 29% is the weight of the dried apples. So, if 29% corresponds to the 128 lb of dried apples you end up with, you can set up a proportion to find the original weight of the fresh apples:
Let W be the weight of the fresh apples. We have:
0.29W = 128 lb
To find the value of W, divide both sides of the equation by 0.29:
W = 128 lb / 0.29
W ≈ 441.38 lb
Therefore, you need to pick approximately 441.38 pounds of fresh apples to get 128 lb of dried apples.
