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In a certain mixture, the ratio of component X to component Y is 2:3. If the tot

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Question: In a certain mixture, the ratio of component X to component Y is 2:3. If the total volume of the mixture is 50 liters, how much of component Y is there?

Options:

  1. 20 liters
  2. 30 liters
  3. 25 liters
  4. 15 liters

Correct Answer: 30 liters

Solution: 

Total parts = 2 + 3 = 5. Y = (3/5) * 50 = 30 liters.

In a certain mixture, the ratio of component X to component Y is 2:3. If the tot

Practice Questions

Q1
In a certain mixture, the ratio of component X to component Y is 2:3. If the total volume of the mixture is 50 liters, how much of component Y is there?
  1. 20 liters
  2. 30 liters
  3. 25 liters
  4. 15 liters

Questions & Step-by-Step Solutions

In a certain mixture, the ratio of component X to component Y is 2:3. If the total volume of the mixture is 50 liters, how much of component Y is there?
  • Step 1: Understand the ratio of component X to component Y, which is 2:3.
  • Step 2: Add the parts of the ratio together: 2 (for X) + 3 (for Y) = 5 parts total.
  • Step 3: Determine how much one part is worth by dividing the total volume of the mixture (50 liters) by the total parts (5): 50 liters / 5 parts = 10 liters per part.
  • Step 4: Find the amount of component Y by multiplying the number of parts for Y (which is 3) by the value of one part (10 liters): 3 parts * 10 liters/part = 30 liters.
  • Step 5: Conclude that there are 30 liters of component Y in the mixture.
  • Ratio and Proportion – Understanding how to use ratios to determine the parts of a whole based on given relationships.
  • Volume Calculation – Calculating the volume of components in a mixture based on their ratio and the total volume.
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