Davina S.

asked • 10/07/18# Gabe needs___ liters is the 20% solution.

## 1 Expert Answer

John B. answered • 04/14/20

Math Teacher for grades 7 through 12

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.

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Brandon C.

The answer is 60 L of the 20% solution and 20L of the 60% solution. The two equations are x+y=80 and .2x+.6y=80(.3) Hope this helps!10/12/18