Tuesday, 26 March 2019

algebra precalculus - The drying water melon puzzle



I couldn't find an explanation to this problem that I could understand.



A watermelon consist of 99% water and that water measures 2 litre. After a day in the sun the water melon dries up and now consist of 98% water. How much water is left in the water melon?



I know the answer is ~1 litre, but why is that? I've read a couple of answers but I guess I'm a bit slow because I don't understand why.




EDIT
I'd like you to assume that I know no maths. Explain it like you would explain it to a 10 year old.


Answer



At the beginning the solid material is 1% of the total which is a trifle (to be neglected) more than 1% of 99% of the total, or 1% of 2000 cm3. Therefore the solid material has volume 20 cm3.



After one day in the sun these 20 cm3 solid material are still the same, but now they make up 2% of the total. Therefore the total now will be 1000 cm3 or 1 litre. 98% of this volume, or almost all of it, will be water.


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