SOLUTION: Brine is a solution of salt and water. If a tub contains 50 of a 5% solution of brine, how much water must evaporate to change it to an 8% solution?

Question 127536: Brine is a solution of salt and water. If a tub contains 50 of a 5% solution of brine, how much water must evaporate to change it to an 8% solution?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Brine is a solution of salt and water. If a tub contains 50 of a 5% solution of brine, how much water must evaporate to change it to an 8% solution?
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5% solution DATA:
Amt. = 50 ; amt of salt = 0.05*50 = 2.5
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0% evaporting DATA:
Amt = x ; amt of salt = 0
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8% solution DATA:
Amt = 50-x ; amt of salt = 0.08(50+x)= 4-0.08x
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EQUATION:
salt + salt = salt
2.5 + 0 = 4 - 0.08x
0.08x = 1.5
x = 18.75 (Amount that must be evaporated)
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Cheers,
Stan H.
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