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Concentrations of three solutions A, B and C, are 20%, 30% and 40%, respectively. They are mixed in the ratio 3: 5: x resulting in a solution of 30% concentration. Find x
  • a)
    5
  • b)
    2
  • c)
    3
  • d)
    4
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Concentrations of three solutions A, B and C, are 20%, 30% and 40%, r...
3 × 0.2 + 5 × 0.3 + x × 0.4 = 0.3 (3+5+x)
⇒ 2.1 + 0.4x = 0.3(8+x)
⇒ 2.1 + 0.4x = 2.4 + 0.3x
or, x = 3
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Most Upvoted Answer
Concentrations of three solutions A, B and C, are 20%, 30% and 40%, r...

Understanding the Problem:
Given concentrations of solutions A, B, and C are 20%, 30%, and 40%, respectively. When mixed in the ratio 3:5:x, they result in a solution of 30% concentration. We need to find the value of x.

Using the Concentration Formula:
The concentration formula states that the overall concentration of a mixture is the weighted average of the individual concentrations. Therefore, we can write the equation for the given problem as:
(20% * 3 + 30% * 5 + 40% * x) / (3 + 5 + x) = 30%

Solving the Equation:
Solving the above equation, we get:
(60 + 150 + 40x) / (8 + x) = 30
(210 + 40x) / (8 + x) = 30
210 + 40x = 30(8 + x)
210 + 40x = 240 + 30x
10x = 30
x = 3

Conclusion:
Therefore, the value of x is 3. So, the correct answer is option C.
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Concentrations of three solutions A, B and C, are 20%, 30% and 40%, respectively. They are mixed in the ratio 3: 5: x resulting in a solution of 30% concentration. Find xa)5b)2c)3d)4Correct answer is option 'C'. Can you explain this answer?
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