Mushrooms

Algebra Level 3

Fresh mushrooms are 90% water by weight. Dried ones are 12% water by weight. How much dried mushrooms, in kg, can be obtained from 22 kg of fresh mushrooms ?

Assumption : Mushrooms are composed of only water and edible ones.

3.5 4 1.5 5 2 2.5 3 1

Ashwin K by ASHWIN K , 29, India

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2 solutions

Ashwin K
Feb 8, 2016

Edible part of Fresh mushroom = 10%(1Kg).

Edible part of Dried mushroom = 88%(1Kg).

We can say that, 88/10 = 8.8Kg of fresh mushroom = 1Kg of dried mushroom.

Hence,22Kg of fresh mushroom = (1/8.8)22 = 2.5 K g \boxed{2.5Kg}

2 Helpful 0 Interesting 1 Brilliant 0 Confused

Hi Ashwin, I enjoyed this problem! Thank you!

Noel Lo - 5 years, 4 months ago

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Welcome..:)

ASHWIN K - 5 years, 4 months ago
Ratul Pan
Feb 8, 2016

Amount of fresh mushrooms= 22 kg
Amount of edible part = 10 100 × 22 \frac{10}{100}\times 22 = 2.2 kg
This means 2.2 kg is the edible part in the dried mushroom.
Let x be the total amount of dried mushroom.
Therefore, 88 100 × x \frac{88}{100}\times x = 2.2 kg
or, x = 2.5 k g \boxed{x = 2.5 kg}

1 Helpful 0 Interesting 1 Brilliant 0 Confused

There is a simpler solution..yours also correct.

ASHWIN K - 5 years, 4 months ago

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