Multiple choice

One vessel contains a mixture of $18$ litres of brandy and $7$ litres of water; and another contains $20$ litres of brandy with $12$ litres of water. Compare the strengths of the two mixtures

  1. $125 : 144$
  2. $144 : 125$
  3. $12 : 15$
  4. $17 : 27$
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B Correct answer
AI explanation

The strength of a mixture is the fraction of brandy in the total volume. The strength of the first vessel is 18 divided by the sum of 18 and 7, which equals 18/25. The strength of the second vessel is 20 divided by the sum of 20 and 12, which equals 20/32 or 5/8. Comparing the two strengths gives the ratio 18/25 to 5/8, which simplifies to 144 to 125. The result is 144 : 125.

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