Question

solve using a system of equations. a pharmacist wants to mix two solutions to obtain 350 cc of a solution that has a 14% concentration of a certain medicine. if one solution has a 17% concentration of the medicine and the second has a 7% concentration, how much of each solution should she mix ?

Answer 1

105 cc of 7% solution

245 cc of 17% solution

Explanation:

If x = volume of 7% solution, and y = volume of 17% solution, then:

x + y = 350

0.07x + 0.17y = 0.14(350)

Solve with substitution:

0.07x + 0.17(350 − x) = 0.14(350)

0.07x + 59.5 − 0.17x = 49

10.5 = 0.10x

x = 105

y = 245