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There are two solutions of wine and water, the concentration of wine being 0.4 and 0.6 respectively. If five liters of the first solution be mixed with fifteen liters of the second, find the concentration of wine in the resultant solution.
  • a)
    0.55
  • b)
    0.45
  • c)
    0.5
  • d)
    0.57
Correct answer is option 'A'. Can you explain this answer?
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To find the concentration of wine in the resultant solution, we can use the formula:

Concentration = Total amount of wine / Total amount of solution

Let's calculate the total amount of wine in the mixture.

Step 1: Calculate the amount of wine in the first solution.
Concentration of wine in the first solution = 0.4
Amount of wine in the first solution = Concentration of wine × Volume of the first solution = 0.4 × 5 = 2 liters

Step 2: Calculate the amount of wine in the second solution.
Concentration of wine in the second solution = 0.6
Amount of wine in the second solution = Concentration of wine × Volume of the second solution = 0.6 × 15 = 9 liters

Step 3: Calculate the total amount of wine in the mixture.
Total amount of wine = Amount of wine in the first solution + Amount of wine in the second solution = 2 + 9 = 11 liters

Next, let's calculate the total amount of solution in the mixture.

Step 4: Calculate the total volume of the mixture.
Total volume of the mixture = Volume of the first solution + Volume of the second solution = 5 + 15 = 20 liters

Now, we can calculate the concentration of wine in the resultant solution using the formula mentioned above.

Concentration = Total amount of wine / Total amount of solution
Concentration = 11 liters / 20 liters
Concentration = 0.55

Therefore, the concentration of wine in the resultant solution is 0.55.

Hence, the correct answer is option A) 0.55.
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There are two solutions of wine and water, the concentration of wine being 0.4 and 0.6 respectively. If five liters of the first solution be mixed with fifteen liters of the second, find the concentration of wine in the resultant solution.a)0.55b)0.45c)0.5d)0.57Correct answer is option 'A'. Can you explain this answer?
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