Multiple choice

In a mixture of 120 litres, the ratio of Coke to Pepsi is 2 : 1. If the ratio is to be changed to 1 : 2, then what quantity of Pepsi should be added?

  1. 120 litres

  2. 60 litres

  3. 50 litres

  4. 20 litres

  5. 14 litres

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A Correct answer
Explanation

Total volume = 120L. Ratio 2:1 means 80L Coke, 40L Pepsi. New ratio 1:2 means for 80L Coke, we need 160L Pepsi. We currently have 40L, so we need to add 120L.

AI explanation

In the initial 120 litres of mixture, the Coke amounts to 80 litres and the Pepsi amounts to 40 litres. Let x litres of Pepsi be added to achieve the new ratio of 1 to 2, establishing the equation 80 divided by (40 plus x) equals 1 divided by 2. Solving this equation yields 160 equals 40 plus x, meaning x is 120 litres.