+0  
 
0
69
2
avatar

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?

 Feb 18, 2021
 #1
avatar+31013 
+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   

 Feb 18, 2021
 #2
avatar+108 
+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.

 Feb 18, 2021

19 Online Users

avatar
avatar