Two equal containers are filled with the mixture of milk and water. The concentration of milk in each of the containers is 20% and 25% respectively. What is the ratio of water in both the containers respectively?

Options

A. `15:16`
B. `16:15`
C. `4:5`
D. `5:4`

Answer

To find the ratio of water in both containers, we can follow these steps:

### Step 1: Understand the Concentration of Milk
In Container 1, the concentration of milk is 20%. This means that the concentration of water in Container 1 is:
\[ \text{Concentration of water in Container 1} = 100\% - 20\% = 80\% \]

### Step 2: Calculate the Concentration of Water in Container 2
In Container 2, the concentration of milk is 25%. Thus, the concentration of water in Container 2 is:
\[ \text{Concentration of water in Container 2} = 100\% - 25\% = 75\% \]

### Step 3: Set Up the Ratio of Water
Now we have the concentrations of water in both containers:
- Water in Container 1 = 80%
- Water in Container 2 = 75%

### Step 4: Write the Ratio
The ratio of water in Container 1 to water in Container 2 can be expressed as:
\[ \text{Ratio of water} = \frac{80}{75} \]

### Step 5: Simplify the Ratio
To simplify the ratio \( \frac{80}{75} \), we can divide both numbers by their greatest common divisor (GCD), which is 5:
\[ \frac{80 \div 5}{75 \div 5} = \frac{16}{15} \]

### Final Answer
Thus, the ratio of water in both containers respectively is:
\[ \text{Ratio of water in Container 1 to Container 2} = 16:15 \]

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