Can you do percentage?

Algebra Level 3

A large watermelon weighted 20 kg with 96% of its weight being water is allowed to stand in the sun for a while and due to which some of its water evaporates, so that now only 95% of it is water. Its reduced weight(in kg) will be?

20 18 15 19.9 16

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1 solution

first situation: total weight = 20kg; % of water = 96%; weigth of water = p {1}

second situation: total weight = 20kg - x; % of water = 95%; weigth of water = p - x {2}

{1}: p = 20.96%

{2}:p - x = (20 - x).95%

OBS.: (x.1 = x.100%) or 100% = 1

{2}: 20.96% - x.100% = 20.95% - x.95%

=> 20.(96 - 95) = x.( -95 +100)

=> x = 20/5 = 4kg

reduced weight(in kg) = 20kg - x = 20kg - 4kg = 16 kg ;)

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