A chemist needs to mix an 20% acid solution with a 50% acid solution to obtain 15 liters of a 34% acid solution. How many liters of each of the acid solutions must be used?

8 and 7

Step-by-step explanation:

No Need

8 litres of the 20% and

7 litres of the 50% solution.

Step-by-step explanation:

Let the number of litres be x for 20% and y for the 50% solution. Then

0.2x + 0.5y = 15*0.34

0.2x + 0.5y = 5.1 Also we have:

x + y = 15 Multiply the first equation by - 2:

-0.4x - y = - 10.2 Adding these last 2 equations:

0.6x = 4.8

x = 4.8 / 0.6

x = 8.

and y = 15 - 8 = 7.