Gabe​ Amodeo, a nuclear​ physicist, needs 50 liters of a 60 acid solution. He currently has a 20 solution and a 70 solution. How many liters of each does he need to make the needed 50 liters of 60 acid solutions

Gabe needs
  
enter your response here liters of the 20​% solution.

Let's assume Gabe needs x liters of the 20% solution.

Since he needs a total of 50 liters, he will need 50 - x liters of the 70% solution.

To find the amount of acid in the final solution, we can use the equation:

0.2x + 0.7(50 - x) = 0.6(50)

0.2x + 35 - 0.7x = 30

-0.5x = -5

x = -5 / -0.5

x = 10

Therefore, Gabe needs 10 liters of the 20% solution.

He also needs

  
enter your response here liters of the 70​% solution.

Since Gabe needs a total of 50 liters and already has 10 liters of the 20% solution, he will need 50 - 10 = 40 liters of the 70% solution.