Multiple choice

A mixture contains liquids A and B in the ratio 4:3. If 5 litres of B is added to the mixture, the ratio becomes 4:5. Find the quantity of A in the given mixture ?

  1. 8 ltrs

  2. 10 ltrs

  3. 18 ltrs

  4. 22 ltrs

  5. None
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let A = 4x and B = 3x. Adding 5 liters of B: 4x / (3x + 5) = 4 / 5. Cross-multiplying: 20x = 12x + 20, so 8x = 20, x = 2.5. Quantity of A = 4x = 4 * 2.5 = 10 liters.

AI explanation

Let the initial quantities of liquids A and B be 4x and 3x respectively. Adding 5 liters of B makes the new ratio 4x to (3x + 5), which equals 4:5, yielding the equation 20x = 12x + 20. Solving this equation gives x = 2.5, meaning the quantity of A is 4 multiplied by 2.5, which equals 10 liters.

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