SOLUTION: A chemist has 20 liters of a solution which is 35 % salt. How much water must be added to make the solution 28% salt? answer:5 liters of water are added need a simple brea

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Question 164469: A chemist has 20 liters of a solution which is 35 % salt. How much water must be added to make the solution 28% salt?

answer:5 liters of water are added
need a simple breakdown of how my text book got 5 liters of water are added as the answer

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A 20 liter solution that is 35% salt would have
20%2835%2F100%29=7 liters of salt.
The amount of salt stays the same and the amount of water increases.
The concentration of salt becomes,
7%2F%2820%2BX%29=28%2F100
where X is the number of liters of water added.
700=28%2820%2BX%29
700%2F28=20%2BX
X=700%2F28-20
X=700%2F28-560%2F28
X=140%2F28=5