22.1k views
0 votes
Chemist needs to mix 20% acid solution with a 70% acid solution to obtain the 8 liters 50% many liters do you

User Slacy
by
5.7k points

1 Answer

12 votes

Answer:

There are 3.2 liters of the 20% solution to be mixed with 4.8 liters of the 70% solution.

Explanation:

x = liters of 20% acid solution

y = liters of 70% acid solution

x + y = 8 This represents the total number of liters

and

.2x + .7y = .5(8) This represents the concentration of the solution

Since x+y=8, y = 8-x

We can use substitution.

.2x + .7(8-x) = 4

.2x + 5.6 - .7x = 4

Combining like terms

-0.5x = - 1.6

Dividing by -0.5

x = 3.2

User Dmitry Kochin
by
4.3k points