Gabe needs___ liters is the 20% solution.

Question

gabe needs 80 liters of a 30% acid solution. He currently has a 20% solution and a 60% solution. How many liters of each does he need to make the needed 80 liters of 30% acid solution?

Answer 1

We have two solutions, call them x and y.

There are 80 liters in the final mix. x + y = 80

Now let's make an acid formula. Since 20% of the x solution is acid, and 60% of the y solution is acid, and 30% of the final solution is acid, then

0.20x + 0.60y = .30(80). ----->. What does this simplify to?

0.2 x + 0.6y = 24 is the acid equation, while x + y = 80 is the solution equation. Solve these simultaneous eqs.

Might help simplify. 0.2x + 0.6y = 24 --->2x +6y = 240 ---->. x + 3y = 120

Subtract x + y = 80 from x + 3y = 120. and get an equation in y only.

x = 60 y = 20. should be your answers.