Multiple choice

A mixture is composed of brandy and water. For every 4 kg of brandy in the mixture, there is 1 kg of water. 1 kg of water is added and the resulting mixture contains 3 times as much brandy as water. Find the quantity of brandy in the original mixture.

  1. 8 kg

  2. 10 kg

  3. 12 kg

  4. 15 kg

  5. 3 kg
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Original: B=4x, W=x. Add 1kg water: B=4x, W=x+1. New ratio: 4x/(x+1) = 3/1. 4x = 3x+3, so x=3. Brandy = 4x = 12 kg.

AI explanation

Let the quantity of brandy be 4x kg and the original quantity of water be 1x kg, based on the initial ratio. After adding 1 kg of water, the new mixture has 4x kg of brandy and (x + 1) kg of water, making the equation 4x = 3(x + 1). Solving this gives x = 3, so the original quantity of brandy is 4 * 3 = 12 kg.

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