# 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?

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.

## 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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