Multiple choice

A mixture contains juice and water in the ratio 4 : 3. If 2 litres of water is added to the mixture, the ratio becomes 4 : 5. What is the quantity of juice in the mixture?

  1. 6 litres

  2. 5 litres

  3. 4 litres

  4. 3 litres
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let juice = 4x and water = 3x. Adding 2 litres of water gives (4x) / (3x + 2) = 4 / 5. Solving for x: 20x = 12x + 8, so 8x = 8, x = 1. Juice = 4x = 4 litres.

AI explanation

Let the initial quantities of juice and water be 4x and 3x respectively. Adding 2 litres of water makes the new ratio 4x to (3x + 2), which equals 4/5. Solving the equation 20x = 12x + 8 yields x = 1. The quantity of juice is 4x, which calculates to 4 litres.

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