Multiple choice

A mixture of 40 liters contains wine and water in the ratio of 3:1. How much water must be added to the mixture so that the ratio of wine and water is 5:2 ?

  1. 4 lts

  2. 3 lts

  3. 2 lts

  4. 5 lts
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initial wine = 30, water = 10. Let x be the water added. (30 / (10 + x)) = 5/2. Cross-multiplying gives 60 = 50 + 5x, so 5x = 10, x = 2.

AI explanation

In the initial 40 liters of the mixture, the quantity of wine is 3/4 of 40, which is 30 liters, and the quantity of water is 10 liters. Let x be the amount of water to add, making the new ratio of wine to water 30 / (10 + x) = 5 / 2. Solving this equation gives 60 = 50 + 5x, so 5x = 10 and x = 2. The required amount of water to add is 2 liters.

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