SOLUTION: We have 500 grams of a 10% salt solution. How many grams of water must be added to dilute the solution to form a 4% solution? I have tried solving this, but I'm not sure if it

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Question 765281: We have 500 grams of a 10% salt solution. How many grams of water must be added to dilute the solution to form a 4% solution?

I have tried solving this, but I'm not sure if it's correct.
(2/100)*(500 + x) = 50
10 + (2/100)x = 50
(2/100)x = 50 - 10
X = 40/(2/100)
X = 200 grams.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This is what you want to understand about a dilution:

{amount of salt initially}/{amount of final solution}={concentration of final solution}

Amount of starting salt: 500*0.10 grams
Amount of water to add for dilution: let this be w
Amount of resulting solution of salt: 500+w

EQUATION:
highlight%28%28500%2A%280.10%29%29%2F%28500%2Bw%29=0.04%29
That uses decimal fractions and not percents.
SOLVE FOR w.