# We want to create 50 liters of 45% concentrated acid. We have two solutions - one is 30% acid and the other is 60% acid. How much of each is needed to create our desired solution?

##### 1 Answer

Feb 8, 2017

#### Answer:

25 litres of each of the 30% and 60% solutions will produce the required 50 litres of 45% acid

#### Explanation:

We have the following situation:

where

From this chart, we can see two things:

#x+y=50# #.3x+.6y=.45(50)#

To solve, I'm going to take the first equation and solve for

and now substitute it into the second equation:

which means that: