If 60% of a mixture is liquid X and the rest is liquid Y, what is the ratio of l

Practice Questions

Q1
If 60% of a mixture is liquid X and the rest is liquid Y, what is the ratio of liquid Y to liquid X?
  1. 1:2
  2. 2:3
  3. 3:2
  4. 1:3

Questions & Step-by-Step Solutions

If 60% of a mixture is liquid X and the rest is liquid Y, what is the ratio of liquid Y to liquid X?
  • Step 1: Understand that the mixture is made up of two liquids, X and Y.
  • Step 2: Note that 60% of the mixture is liquid X.
  • Step 3: Calculate the percentage of liquid Y by subtracting the percentage of liquid X from 100%. So, 100% - 60% = 40%.
  • Step 4: Now, we know that 40% of the mixture is liquid Y.
  • Step 5: To find the ratio of liquid Y to liquid X, we write it as Y:X, which is 40:60.
  • Step 6: Simplify the ratio 40:60 by dividing both numbers by their greatest common divisor, which is 20. So, 40 ÷ 20 = 2 and 60 ÷ 20 = 3.
  • Step 7: The simplified ratio of liquid Y to liquid X is 2:3.
  • Percentage to Ratio Conversion – Understanding how to convert percentages into a ratio format.
  • Basic Ratio Simplification – Simplifying ratios to their lowest terms.
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