A pharmacist wants to mix two solutions to obtain 100 cc of a solution that has an 8% concentration of a certain medicine. If one solution has a 10% concentration of the medicine and the second has a 5% concentration, how much of each of these solutions should she mix?

Equations and inequalities
asked 2020-10-28
A pharmacist wants to mix two solutions to obtain 100 cc of a solution that has an 8% concentration of a certain medicine. If one solution has a 10% concentration of the medicine and the second has a 5% concentration, how much of each of these solutions should she mix?

Answers (1)

Let x be the amount of 10% concentracion so that 100-x is the amount of 5% concentracion, both in cc.
In terms of percentage, we write:
Solve for x: 0.10x+5-0.05x=8
Hence, the pharmacist needs 60 cc of the 10% concentracion and 40 cc of the 5% concentracion.

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