A nurse has two solutions that contain different concentrations of a certain medication. One is a 20% concentration and the other is a 5% concentration. How many cubic centimeters of each should he mix to obtain 10 cc of a 9.5% solution?
med in ingredients = final amount of med
x = 20% volume
10 - x = 5% volume
.20 (x) + .05 (10-x) = .095 (10) solve for x = the amount of 20% then 5% = 20 - x
Where x cc of 5% solution, y cc of 20% solution.
Transform the rational equation to 20y+5x=10*11, divide by 5,
Now you have the system
Subtract second equation from first equation and obtain 3y=12, then y=4.
Because y=4 x has to equal 6.