Gabe Amodeo, a nuclear physicist, needs 90 liters of a 50% acid solution. He currently has a 30% solution and a 60% solution. How many liters of each does he need to make the needed 90 liters of 50% acid solution?

Question

Gabe​ Amodeo, a nuclear​ physicist, needs 90 liters of a ​50% acid solution. He currently has a 30% solution and a 60% solution. How many liters of each does he need to make the needed 90  liters of 50​% acid​ solution?

Bot GPT 3.5 · Answer

Let x be the number of liters of the 30% solution Gabe needs. Then the number of liters of the 60% solution he needs is 90 - x. The amount of acid in the 30% solution is 0.3x liters. The amount of acid in the 60% solution is 0.6(90 - x) liters. The total amount of acid in the 50% solution is 0.5(90) liters. So the equation is: 0.3x + 0.6(90 - x) = 0.5(90) 0.3x + 54 - 0.6x = 45 -0.3x = -9 x = 30 So Gabe needs 30 liters of the 30% solution and 90 - 30 = 60 liters of the 60% solution. Answer: \boxed{30, 60}.

Gabe​ Amodeo, a nuclear​ physicist, needs 90 liters of a ​50% acid solution. He currently has a 30% solution and a 60% solution. How many liters of each does he need to make the needed 90 liters of 50​% acid​ solution?

Let x be the number of liters of the 30% solution Gabe needs.

Gabe Amodeo, a nuclear physicist, needs 90 liters of a 50% acid solution. He currently has a 30% solution and a 60% solution. How many liters of each does he need to make the needed 90 liters of 50% acid solution?