A mixture contains milk and water in ratio 4:3. If 5 L of water is added to the mixture, the ratio becomes 4:5. The quantity of milkChoices:- 10 11 15 16
Question
A mixture contains milk and water in ratio 4:3. If 5 L of water is added to the mixture, the ratio becomes 4:5. The quantity of milkChoices:- 10 11 15 16
Solution
Let's solve this step by step:
Step 1: Let's assume the quantity of milk in the mixture is 4x and the quantity of water is 3x.
Step 2: According to the problem, if 5 L of water is added to the mixture, the ratio of milk to water becomes 4:5. So, we can write this as 4x/(3x+5) = 4/5.
Step 3: Cross multiply to solve for x. We get 20x = 4*(3x+5).
Step 4: Simplify to get 20x = 12x + 20.
Step 5: Subtract 12x from both sides to get 8x = 20.
Step 6: Solve for x to get x = 20/8 = 2.5.
Step 7: The quantity of milk in the mixture is 4x, so substitute x = 2.5 to get 4*2.5 = 10 L.
So, the quantity of milk in the mixture is 10 L.
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