SOLUTION: One brine solution contains 6% salt and another brine solution contains 2% salt. How many pints of each solution should be mixed to produce 48 pints of brine solution that is 5% s

Question 139080: One brine solution contains 6% salt and another brine solution contains 2% salt. How many pints of each solution should be mixed to produce 48 pints of brine solution that is 5% salt?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
One brine solution contains 6% salt and another brine solution contains 2% salt. How many pints of each solution should be mixed to produce 48 pints of brine solution that is 5% salt?
:
Let x = amt of 6% salt solution
It says the final amt will be 48 pints, therefore
(48-x) = amt of 2% solution
:
.06x + .02(48-x) = .05(48)
.06x + .96 - .02x = 2.4
.06x - .02x = 2.4 - .96
.04x = 1.44
x =
x = 36 pints of 6% solution
and
48 - 36 = 12 pints of 2% solution
:
:
Check our answers in the original equation
.06(36) + .02(12) = .05(48)
2.16 + .24 = 2.4
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