A mixture contains milk and water in the ratio 8 : x. If 3 liters of water is added in 33 liters of mixture, the ratio of milk and water becomes 2 : 1, then value of x is :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 3 Litres
Let the 33 litres of mixture contain 8k litres of milk and xk litres of water. Adding water does not change the quantity of milk.
After adding 3 litres of water the mixture is 36 litres, in the ratio 2 : 1:
\( \displaystyle \text{milk} = \frac{2}{3} \times 36 = 24 \)
\(\text{water} = 36 - 24 = 12\)
So the original mixture had 24 litres of milk and 12 − 3 = 9 litres of water:
\(8 : x = 24 : 9\)
\( \displaystyle x = \frac{8 \times 9}{24} = 3 \)