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In a store window, there was a box of berries having a total weight of 200 kg. The berries were 99% moisture, by weight. After two days in the sun, the moisture content of the berries was only 98%, by weight. What was the total weight of the berries after two days, in kg?

 Oct 25, 2021
 #1
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1% of the moisture weight is 198*0.01 = 1.98 kg.  Subtracting that from total moisture 198 - 1.98 = 196.02 kg.

Add back the berry content 2kg.  Answer = 196.02 + 2 = 198.02 kg.

 Oct 25, 2021
 #2
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0

The above solution and solution method is wrong.

 

...a box of berries having a total weight of 200 kg. The berries were 99% moisture, by weight. After two days in the sun, the moisture content of the berries was only 98%, by weight. What was the total weight of the berries after two days, in kg?

 

Solution:

 

200 Kg of berries are 99% water. The weight of the water is then(0.99200)=198 kgLet x be the weight of the water lost after exposure to the sun. (0.992000.98(200x))=x198(1960.98x)=x198196+0.98x=x2+0.98x=x1+0.98x0.98x=x0.98x2=0.02xx=100 200x=200100=100 kgThe total weight of the berries after 2 days

 

GA

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 Oct 25, 2021

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