a pharmacist has a 10% alcohol solution and a 25% alcohol solution. How many milliliters of each solution will she need to mix t ogether in order to have 200 mL of a 20% alcohol solution?
1 answer:
x = volume of 10% solution to use in the mixture
y = volume of 25% solution to use
She wants a 200 mL solution, so x + y = 200.
The first solution contributes 0.10x mL of alcohol, while the second contributes 0.25y mL. Together, they make a solution with 0.20(x + y) = 0.20(200) = 40 mL of alcohol.
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