SOLUTION: a solution contains 4% salt. how much pure water should be added to 30 oz of the solution to dilute it to a 1.5% salt solution? thanks

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Question 170715: a solution contains 4% salt. how much pure water should be added to 30 oz of the solution to dilute it to a 1.5% salt solution?
thanks
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
so the portion of salt in the solution is .04(30)=1.2 oz----> this portion of salt does not change it simply becomes more diluted if pure water is added. The 1.2 ounces must be equal to 1.5% of what ever the new mix is....we know we already have 30 oz so whatever is added(water in this problem-which we will call x) has to be combined with the existing 30 oz as is stated in the problem.....so we end up with the new mix equaling 30+x
1.2=.015(30+x)
:
1.2=.45+.015x
:
.75=.015x
:
highlight%28x=50%29oz of pure water need to be added