Posted by **kate** on Wednesday, July 9, 2014 at 11:29pm.

a drug is supplied as a 20 mg/ml solution in a 50 ml vial. you need to make 15 ml of a 10 mg/ml solution. how much concentrate and how much diluent are needed to obtain the desired final volume?

- math -
**Steve**, Wednesday, July 9, 2014 at 11:58pm
you need x ml of solution, and 15-x ml of water (0 mg/ml), so

20x + 0 = 10*15

x = 7.5

Since the concentration is being reduced by a factor of 2, the volume needs to be increased by that factor.

2 * 7.5 = 15

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