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Apples lose 71% of their weight while drying. How many pounds of fresh apples are needed to get 128 pounds of dried apples?

Answer :

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.

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Rewritten by : Barada

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]