Multiple choice

Two batches of drinks are prepared by using mixture of Vodka and Juice. In the first batch, the ratio of Vodka and Juice is 5 : 4 and in second batch, the ratio is 2 : 7. If 9 litres of drink from first batch and 27 litres of drink from second batch is taken and mixed together to make a new drink, then calculate the ratio of Vodka and juice in the new batch.

  1. 11 : 25

  2. 3 : 4

  3. 1 : 6

  4. 7 : 3

  5. None of these

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A Correct answer
Explanation

Batch 1: 9 litres, ratio 5:4. Vodka = 5, Juice = 4. Batch 2: 27 litres, ratio 2:7. Vodka = 27*(2/9) = 6, Juice = 27*(7/9) = 21. Total Vodka = 5 + 6 = 11. Total Juice = 4 + 21 = 25. Ratio = 11:25.

AI explanation

From the 9 litres of the first batch, the volume of Vodka is 5/9 of 9, which is 5 litres, and the volume of Juice is 4 litres. From the 27 litres of the second batch, the volume of Vodka is 2/9 of 27, which is 6 litres, and the volume of Juice is 21 litres. In the new mixture, the total Vodka is 5 + 6 = 11 litres and the total Juice is 4 + 21 = 25 litres. The ratio of Vodka to Juice in the new batch is 11 : 25.