Multiple choice

A wine distributor wants to mix two wines. Wine A contains 8% alcohol, and Wine B contains 16% alcohol. How many liters of Wine B should be added to 30 liters of Wine A to produce a blend with 12% alcohol?

  1. 20 liters

  2. 25 liters

  3. 30 liters

  4. 35 liters

  5. 40 liters
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Using the alligation method: Wine A (8%) and Wine B (16%) mixed to get 12%. The ratio of volumes is (16-12) : (12-8) = 4 : 4 = 1 : 1. Since we have 30 liters of Wine A, we need 30 liters of Wine B.

AI explanation

Using the rule of alligation, the ratio of the quantities of Wine A to Wine B is 12 minus 8 to 16 minus 12, which is 4 to 4, or a 1 to 1 ratio. Since there are 30 litres of Wine A, an equal amount of Wine B is needed. Therefore, the amount of Wine B to be added is 30 litres.

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