Question 1196249
Let x = the number of liters of 1st drink 
    y = the number of liters of 2nd drink

Equations
(1)    0.3x + 0.6y = 1,000
(2).   0.7x + 0.4y = 1,500

Multiply equation (2) by 1.5
(3)    1.05x +0.6y = 2,250

Subtract equation (3) by equation (1)
.75x = 1,250
   x = 1,667
   y = 833

Answer
1,667 liters of 1st drink and 833 liters of 2nd drink should be produced.

Solved.