Answer:
Volume of Mixture A =90 ml
Volume of Mixture B =30 ml
Explanation:
Let say, Mixture A + Mixture B = Mixture C
Volume of Mixture A is x
Volume of Mixture B is y
So, Volume of Mixture C is x+y = 120 ml
Now, Acid contain in Mixture A is 20% =0.2x
Acid contain in Mixture B is 80% =0.8y
Also, Acid contain in Mixture C is 35% =(0.35)(x+y) = 0.35×120=42
Now, we know that,
Acid contain of Mixture A + Acid contain of Mixture B=Acid contain of Mixture C
∴ 0.2x+0.8y=42
∴ 2x+8y=420
We get two linear equations
2x+8y=420 and x+y = 120
Solving above equation...
∴ x=120-y
Replacing x value in 2x+8y=420
∴ 2(120-y)+8y=420
∴ 240-2y+8y=420
∴ 6y=180
∴ y=30
Replacing y value in any equation
∴ x=120-y=120-30=90
∴ x=90
Thus,
Volume of Mixture A is x=90 ml
Volume of Mixture B is y=30 ml