Question

A laboratory technician at wonder spirits needs to make a 44 liter batch of 40% alchohol solution. How can the technician combine a batch of an alchohol solution that is pure alchohol with another that is 20% to get the desired concentration?

Answer 1

Answer: Technician should use 11 liters of pure alcohol and technician should use 33 liters of 20% acid solution.

Explanation:

Let the amount of pure alcohol be x

and let the amount of 20% solution be y

So, our first equation will be

`x+y=44`

As we have 44 liter batch of 40% of alcohol solution.

And from above equation we can conclude that

`y=44-x`

According to question,

`1x+0.2y=0.4* 44\\\\x+0.2(44-x)=17.6\\\\x+8.8-0.2x=17.6\\\\0.8x=17.6-8.8\\\\0.8x=8.8\\\\x=(8.)/(0.8)\\\\x=11`

Hence, technician should use 11 liters of pure alcohol and

`y=44-x\\\\y=44-11\\\\y=33\ liters`

Hence, Technician should use 33 liters of 20% acid solution.