In a 60 litre mixture, the ratio of milk and water is 2:1. If this ratio is to…
2024
In a 60 litre mixture, the ratio of milk and water is 2:1. If this ratio is to be changed to 1:2 ; then the quantity of water to be added is
Answer: A. 60 litre — Answer: 60 litre Step-by-step solution: Compute initial amounts: milk = 2/3 of 60 = 40 litre; water = 1/3 of 60 = 20 litre. Let x be the litres of water to…
- A.
60 litre
- B.
40 litre
- C.
20 litre
- D.
10 litre
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Correct answer: A
Answer: 60 litre
Step-by-step solution:
Compute initial amounts: milk = 2/3 of 60 = 40 litre; water = 1/3 of 60 = 20 litre.
Let x be the litres of water to add. After adding, water = 20 + x litres; milk remains 40 litres.
Set the desired ratio milk : water = 1 : 2, so 40 : (20 + x) = 1 : 2.
Solve the equation: 40 / (20 + x) = 1 / 2 ⇒ 2 × 40 = 20 + x ⇒ 80 = 20 + x ⇒ x = 60.
Therefore, 60 litres of water must be added.