In a mixture, water and milk are in the ratio of 2 : 3. What is the amount of water that is to be added to 20 kg of this mixture to make the ratio of water and milk in the new mixture 1 : 1 ?
Answer & explanation
Correct answer: option 3
Initial Mixture,
Milk : Water
3 : 2,
Final Mixture
Milk : Water
1 : 1
⇒ Making ratio of Milk in both solutions same, we multiply final solution with 3,
⇒ (1 : 1) x 3 = 3 : 3,
⇒ Quantity of initial mixture = 20 Kg,
⇒ (2 + 3)x = 20
⇒ 5x = 20,
⇒ x = 4 Kg,
Initial Mixture,
Milk = 3 x 4 = 12 Kg, Water = 2 x 4 = 8 Kg
⇒ Amount of water added to make ratio 1 : 1,
⇒ Milk = Water,
⇒ 12 = 8 + x
⇒ x = 12 - 8
⇒ x = 4 Kg
Hence, The amount of water that is to be added to make ratio of Milk and Water 1 : 1 is 4 Kg.