Question

When you dry mushrooms, they lose 72% of their weight. What weight of fresh mushrooms do you need in order to get 12.25 lb of dried mushrooms?

Answer 1

Answer:

The weight of mushrooms in order to obtain 12.25 lb of dry mushrooms is:

43.75 lb.

Step-by-step explanation:

It is given that:

When you dry mushrooms, they lose 72% of their weight.

Let the actual weight of mushrooms be 'x' lb.

Now the weight of the dried mushrooms is given 12.25 lb.

WE have to find the value of x .

This implies that:

(100-72)% of x=12.25.

⇒ 28% of x=12.25

⇒ $\dfrac{28}{100}\times x=12.25\\\\x=\dfrac{12.25\times 100}{28}\\\\x=43.75\ lb$

Hence, the weight of mushrooms in order to obtain 12.25 lb of dry mushrooms is:

43.75 lb.

Answer 2

If they lose 72% of their weight, then they are only 28% of the original amount. Let n be the original weight of the mushrooms. Then:
0.28n=12.25
n=12.25/0.28=43.75 lbs of mushrooms necessary to start with
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