Tasha needs 75 liters of a 40% solution of alcohol. she has a 20% solution and a 50% solution available. how many liters of the 20% solution and how many liters of the 50% solution should she mix to make the 40% solution?

Tasha should mix 25 liters of 20% solution and 50 liters of 50%.

Step-by-step explanation:

Let x liters be the amount of 20% solution  and y liters be the amount of 50% solution Tasha takes.

1. Tasha needs 75 liters of a 40% solution of alcohol. Then

x + y = 75

2. There are

In total, of alcohol that is 30 l, so

0.2x + 0.5y = 30

3. Solve the system of two equations:

From the first equation:

Substitute it into the second equation

Tasha should mix 25 liters of 20% solution and 50 liters of 50%.

a

step-by-step explanation: