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If 15 liters of a mixture contains 9 liters of liquid X and the rest is liquid Y

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Question: If 15 liters of a mixture contains 9 liters of liquid X and the rest is liquid Y, what is the ratio of X to Y?

Options:

  1. 3:2
  2. 2:3
  3. 5:4
  4. 4:5

Correct Answer: 3:2

Solution:

Liquid Y = 15 - 9 = 6 liters. Ratio = 9:6 = 3:2.

If 15 liters of a mixture contains 9 liters of liquid X and the rest is liquid Y

Practice Questions

Q1
If 15 liters of a mixture contains 9 liters of liquid X and the rest is liquid Y, what is the ratio of X to Y?
  1. 3:2
  2. 2:3
  3. 5:4
  4. 4:5

Questions & Step-by-Step Solutions

If 15 liters of a mixture contains 9 liters of liquid X and the rest is liquid Y, what is the ratio of X to Y?
  • Step 1: Identify the total volume of the mixture, which is 15 liters.
  • Step 2: Identify the volume of liquid X in the mixture, which is 9 liters.
  • Step 3: Calculate the volume of liquid Y by subtracting the volume of liquid X from the total volume: 15 liters - 9 liters = 6 liters.
  • Step 4: Now, we have 9 liters of liquid X and 6 liters of liquid Y.
  • Step 5: To find the ratio of liquid X to liquid Y, write it as 9:6.
  • Step 6: Simplify the ratio 9:6 by dividing both numbers by their greatest common divisor, which is 3. This gives us 3:2.
  • Mixture and Ratio – Understanding how to calculate the components of a mixture and express them in ratio form.
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