Gabe amodeo a nuclear physicists needs 80 liters of a 30% acid solution. he currently has a 20% and a 60% solution how many liters of each does he need to make the needed 80 liters of 30% acid solution?

Let x be the number of liters needed from the first acide concentration (20%)
Let y be the number of liters needed from the first acide concentration (60%)

We know at the end we will have:
x+y = 80 ; we also know that:
20%(x) + 60%(y) = 30%(80) OR 0.2x + 0.6y = 0.3(80) = 2x+6y=240

Hence we have :
x+y = 80
2x+6y = 240
Solving this system of 2 equations give: x = 60 and y = 20
In short you need to mix 60 litres at 20% and 20 liters at 60%

You would multiply by the reciprocal.  This means that you would flip the fraction, turning 1/3 into 3/1.  You would multiply 6 and 3 together and divide it by 1 (it would look like this: 6x3/1).  Your answer will be 18.