Answer:
The volume for the 0.26% is 250 ml and the volume for the 0.06% is 750 ml.
Step-by-step explanation:
In the solution the techinician wants to create there's a total of:
salt = 1*0.11/100 = 0.0011
So the sum of the salt from the other two solutions must be equal to that, since the quantity of salt in each is given by:
salt1 = volume1*0.06/100 = volume1*0.0006
salt2 = volume2*0.26/100 = volume2*0.0026
The sum of the from the two solutions must be equal to the final one:
salt = salt1 + salt2
0.0011 = 0.0006*volume1 + 0.0026*volume2
while the volume of the solutions must be equal to 1 liter:
volume1 + volume2 = 1
If we isolate volume1 on the second equation and replace that on the first one we have:
volume1 = 1 - volume2
0.0006*(1 - volume2) + 0.0026*volume2 = 0.0011
0.0006 - 0.0006*volume2 + 0.0026*volume2 = 0.0011
0.002*volume2 = 0.0011-0.0006
0.002*volume2 = 0.0005
volume2 = 0.0005/0.002 = 0.25 liters = 250 ml
volume1 = 1 - 0.25 = 0.75 liters = 750 ml
The volume for the 0.26% is 250 ml and the volume for the 0.06% is 750 ml.
