A mixture contains milk and water in the ratio 5:1. On adding 5 litres of water, the ratio of milk and water becomes 5:2. The quantity of milk in the original mixture is ?a.25 litresb.32.5litresc.16 litresd.22.75 litres
Question
A mixture contains milk and water in the ratio 5:1. On adding 5 litres of water, the ratio of milk and water becomes 5:2. The quantity of milk in the original mixture is ?a.25 litresb.32.5litresc.16 litresd.22.75 litres
Solution
Let's solve this step by step:
Step 1: Let's assume the quantity of milk and water in the original mixture is 5x and x respectively.
Step 2: According to the problem, when 5 litres of water is added to the mixture, the ratio of milk to water becomes 5:2. So, we can write this as:
5x/(x+5) = 5/2
Step 3: Cross multiply to solve for x:
10x = 5x + 25
Step 4: Subtract 5x from both sides:
5x = 25
Step 5: Solve for x:
x = 5
Step 6: Substitute x = 5 into the assumed quantity of milk in the original mixture:
Quantity of milk = 5x = 5*5 = 25 litres
So, the quantity of milk in the original mixture is 25 litres. Therefore, the answer is (a) 25 litres.
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