Question 1163883
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Let x be the volume of the first liquid and y be the volume of the second liquid (in cm^3).



Then the total volume equation is  x +   y = 1000  cm^3,      (1)

while the total mass equation is   2x + 3y = 2400 grams.      (2)



From the first equation  x = 1000 - y.

Substitute it into the second equation.  You will get

    2*(1000-y) + 3y = 2400


Simplify and find y.

    2000 - 2y + 3y = 2400

    y              =  400.


Then from equation (1),  x = 1000-400 = 600.


thus the volumes are  600 cm^3  and  400 cm^3  for the first and the second liquids, respectively.


The masses are  2*600 = 1200 grams  and 3*400 = 1200 grams  (the same masses for both liquids).
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Solved, answered and explained.