Fruity fruit!

Algebra Level 4

Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from $100kg$ of fresh fruit?

The answer is 40.

4 solutions

Guiseppi Butel
Jul 26, 2014

If you remove all of the water you will have 32 kg of completely dry matter. To achieve the "dry fruit" status water has to be added. To achieve the 20% water status 32 /.80 = 40.

Nice Problem.

Vinod Chhallany - 6 years, 10 months ago

I don't agree with this answer

Sergio Arroyos - 6 years, 10 months ago

Can you elaborate?

Guiseppi Butel - 6 years, 10 months ago

gud approach Mr. Guiseppi

devesh golwalkar - 6 years, 10 months ago

Cool! I had a similar method of removing all the water first. There would be 32 kg of completely dried fruit. So, X/ X+32 = 1/5 giving you X = 8 for the kg of water you need to add back in.

chas waterman - 6 years, 10 months ago

By elaborating?? In 100kg there is 32kg of fruit content (100-68)% of 100 kg But dry fruit contains content (32kg) plus water (20%) So , 80% is fruit content(which is 32kgs) 80/100*X = 32kgs {X is the total weight of the dry fruit} now I hope I I don't need need to find X :D

Arya Haldar - 6 years, 10 months ago

Gautam Sharma
Jul 26, 2014

total dry matter = 32%of 100 =32kg . now this is equal to 80% of weight of dry fruits(X). so

(80/100)*X=32

Therefore X =40

nicely done

ravi teja - 6 years, 10 months ago

Gian Mark Pulgar
Aug 2, 2014

Simple material balance, let x be the amount of dry fruit and 100-x as the amount of water. Using water balance (considering d.f. as tie component),

100(0.68) = (100-x) + (x*0.2)

Solving for x, you will get 40 kg.

Rm Operania
Aug 1, 2014

This is what I did:

68%(100kg) - 20%(x) = 100%(100-x); where x = weight of dried fruit. -I assumed that when you subtract the total weight of the Fresh and Dried Fruit, you will get pure water.

Solving for x will yield 40kg.

Fruity fruit!

The answer is 40.

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