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?

Guest Feb 18, 2021

#1**+2 **

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

ElectricPavlov Feb 18, 2021

#2**+1 **

(y*0.2+x*0.05)/10=0.11

x+y=10

Where x cc of 5% solution, y cc of 20% solution.

Transform the rational equation to 20y+5x=10*11, divide by 5,

4y+x=22

Now you have the system

x+4y=22

x+y=10

Subtract second equation from first equation and obtain 3y=12, then y=4.

Because y=4 x has to equal 6.

whatdoiputhere Feb 18, 2021