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## 100 kg bag of potatoes 3

if you have a 100kg bag of potatoes, that are 99% water, they're left out in the sun and dry up a bit, so it's now 98% water, how heavy is the bag of potatoes?

50 kg

Kvk Venugopal

can u give a solution ?

Sumit Sonagra

98.02 kg assuming density of water as 1gm/cc.

rjxxl

The original bag had 100kg of potatoes which was made up of 99% water. This means that there was 99kg of water and 1kg of potato starch. If the bag is left out in the sun, some of the water will evaporate, but we will still have the same amount of potato starch. So if we are left with 98% water, that means that we have an unknown amount (x kg) of water and 1kg of potato starch. Therefore...

x/(x+1) * 100 = 98 x * 100 = 98 * (x + 1) 100x = 98 x + 98 100x - 98 x = 98 2x = 98 x = 49.

So, there is 49kg of water and 1 kg of potato starch. Therefore the bag weighs 50 kg.

rjxxl

The original bag had 100kg of potatoes which was made up of 99% water. This means that there was 99kg of water and 1kg of potato starch. If the bag is left out in the sun, some of the water will evaporate, but we will still have the same amount of potato starch. So if we are left with 98% water, that means that we have an unknown amount (x kg) of water and 1kg of potato starch. Therefore...

x/(x+1) * 100 = 98

x * 100 = 98 * (x + 1)

100x = 98 x + 98

100x - 98 x = 98

2x = 98 x = 49.

So, there is 49kg of water and 1 kg of potato starch. Therefore the bag weighs 50 kg.

Aarkay

50 kg because originally 1% is weight of potato other than water that is 1 kg and later only 2% that is 2% of x should be 1 kg that is i.e x=50kg

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