SOLUTION: to dilute a solution that is 40% saline, a chemist combines it with a solution that is 15% saline. How much of each solution should she use if she needs 150mL of a solution that is

Question 409246: to dilute a solution that is 40% saline, a chemist combines it with a solution that is 15% saline. How much of each solution should she use if she needs 150mL of a solution that is 25% saline?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
to dilute a solution that is 40% saline, a chemist combines it with a solution that is 15% saline. How much of each solution should she use if she needs 150mL of a solution that is 25% saline?
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Equation:
salt + salt = salt
0.40x + 0.15(150-x) = 0.25(150)
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Multiply thru by 100 to get:
40x + 15*150-15x = 25*150
25x = 10*150
x = 60mL (amt. of 40% solution needed)
150-x = 90mL (amt. of 15% solution needed)
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Cheers,
Stan H.
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