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A bottle of milk contains 50% water. If we replace this milk with another milk containing 10% water, the percentage of water in the milk becomes 25%. What quantity of milk did you replace? 

Find out the quantity of milk replaced in a bottle of milk which contains 50% of water.

by Maivizhi A

Updated Mar 07, 2024

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A bottle of milk contains 50% water. If we replace this milk with another milk containing 10% water, the percentage of water in the milk becomes 25%. What quantity of milk did you replace?

A bottle of milk contains 50% water. If we replace this milk with another milk containing 10% water, the percentage of water in the milk becomes 25%. What quantity of milk did you replace? 

Let's denote the initial quantity of milk as M liters.

Given = The original milk contains 50% water ==> The amount of water in the original milk is 0.5M liters.

When we replaced this milk with another milk containing 10% water, the new milk mixture contained 25% water.

The amount of water in the new milk mixture is 0.25(M + X) liters.

Since we replaced the entire original milk, the total amount of water remains the same.

Therefore, we set up the following equation:

0.5M = 0.25(M + X)

Simplifying the equation:

0.5M = 0.25M + 0.25X

0.25M = 0.25X

X = 0.25M / 0.25

X = M

So, the quantity of milk replaced is equal to the quantity of the milk he bought.  

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Sums to Work out 

1. A solution contains 30% vinegar. If we replace this solution with another solution containing 5% vinegar, the percentage of vinegar in the mixture becomes 20%. How much of the original solution was replaced? 

2. A jar of juice contains 30% apple juice. If you pour in another type of juice containing 5% apple juice, the percentage of apple juice in the jar becomes 20%. How much of the original juice did you pour out?

A bottle of milk contains 50% water. If we replace this milk with another milk containing 10% water, the percentage of water in the milk becomes 25%. What quantity of milk did you replace - FAQs

1. A bottle of milk contains 50% water. If we replace this milk with another milk containing 10% water, the percentage of water in the milk becomes 25%. What quantity of milk did you replace?

The quantity of milk replaced is equal to the quantity of milk at the initial stage.

2. What quantity of milk did we replace? 

We replace the milk with another milk containing 10% water.

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