SOLUTION: one salt solution is 15% and another is 20% salt. How many cubic centimeters of each solution must be mixed to obtain 50 cubic centimeters of 16% solution?

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Question 226028: one salt solution is 15% and another is 20% salt. How many cubic centimeters of each solution must be mixed to obtain 50 cubic centimeters of 16% solution?
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
one salt solution is 15% and another is 20% salt.
How many cubic centimeters of each solution must be mixed to obtain 50 cubic centimeters of 16% solution?
:
Let x = amt of 20% solution
:
The resulting amt is to be 50 cu/cm, therefore
(50-x) = amt of 15% solution
:
Using the decimal equiv, write an amt of salt equation
:
.20x + .15(50-x) = .16(50)
:
.20x + 7.5 - .15x = 8
:
.20x - .15x = 8 - 7.5
:
.05x = .5
x =
x = 10 cu/cm of 20% salt
and
50 - 10 = 40 cu/cm of 15% salt
:
:
check
.2(10) + .15(40) = .16(50)
2 + 6 = 8

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