A pharmacist has a 10% alcohol solution and a 25% alcohol solution. So i want to know how many milliliters of each solution will she need to mix together in order to have 200 mL of a 20% alcohol solution?

nyle2k8431

nyle2k8431

Answered question

2022-11-05

A pharmacist has a 10% alcohol solution and a 25% alcohol solution. So i want to know how many milliliters of each solution will she need to mix together in order to have 200 mL of a 20% alcohol solution?

Answer & Explanation

Laura Fletcher

Laura Fletcher

Beginner2022-11-06Added 22 answers

Let us begin by assigning volume values to each of the solutions.
We will make the 10% solution x
This will make the 25% solutions 200−x
The final 20% solution will be 200ml
The equation for combining the solutions becomes
.10 ( x ) + .25 ( 200 - x ) = .20 ( 200 )
.1 x + 50 - .25 x = 40
.1 x + 50 - .25 x - 50 = 40 - 50
- .15 x = - 10
- .15 x - .15 = - 10 - .15
x = 66.67 m L
200 - x = 133.33 m L

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