SOLUTION: The total mass of a mixture of two liquids is 3.6kg and the total volume is 1000cm3. If 1cm3 of one of the liquids has mass 3g and 1cm3 of the other liquid has mass 4g, calculate t

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: The total mass of a mixture of two liquids is 3.6kg and the total volume is 1000cm3. If 1cm3 of one of the liquids has mass 3g and 1cm3 of the other liquid has mass 4g, calculate t      Log On


   

Question 1100888: The total mass of a mixture of two liquids is 3.6kg and the total volume is 1000cm3. If 1cm3 of one of the liquids has mass 3g and 1cm3 of the other liquid has mass 4g, calculate the volume and mass of each liquid present.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Let the masses of each be A grams of liquid A and B grams of liquid B.
Density for A is 3 grams per ml.
Density for B is 4 grams per ml.
1 ml. is 1 cm^3.

Volume for the mixture is A%2F3%2BB%2F4=1000.
Mass for the mixture is A%2BB=3600, in grams.

The system of equations for this is system%28A%2F3%2BB%2F4=1000%2CA%2BB=3600%29, and best to start by simplifying the volume equation.

4A%2B3B=12000
-
4A%2B3%283600-A%29=12000
4A%2B3%2A3600-3A=12000
A=12000-3%2A3600
highlight%28A=1200%2Agrams%29--------which_ishighlight%28400%2Acm%5E3%29 of liquid A.
Now use this to evaluate the value of B.