Answer:
30 liters of 30% solution and 30 liters of 70% of solution should be mixed by the researcher to get 60 liters of 50% solution.
Step-by-step explanation:
Let 'x' liters of 30% solution and 'y' liters of 70% solution are added together to get the required 60 liters of 50% of the solution.
According to the question, 30% solution and 70% solution are mixed and so, we get
[tex]0.3x+0.7y=0.5 \cdot 60\\\Rightarrow 0.3x+0.7y=30----(1)[/tex]
Also, sum of the final solution should be 60 liters only so, we get
[tex]x+y=60----(2)[/tex]
Solving equations (1) and (2), we get
[tex]x=30 liters\\ y=30 liters[/tex]
Hence, we can say that 30 liters of 30% solution and 30 liters of 70% of solution should be mixed by the researcher to get 60 liters of 50% solution.
Link associated to Brainly.com: https://brainly.com/question/17377535