`3/7` of Anjali's stamps is as many as `2/5` of Ishan's stamps. Find the ratio of Anjali's stamps to Ishan's stamps.

Options

A. `14:15`
B. `15:14`
C. `12:15`
D. `13:15`

Answer

To solve the problem, we need to find the ratio of Anjali's stamps to Ishan's stamps based on the information given. Let's denote:

- A = the number of Anjali's stamps
- B = the number of Ishan's stamps

According to the problem, we have the equation:

\[ \frac{3}{7} A = \frac{2}{5} B \]

### Step 1: Cross-multiply the equation
To eliminate the fractions, we can cross-multiply:

\[ 3A \cdot 5 = 2B \cdot 7 \]

This simplifies to:

\[ 15A = 14B \]

### Step 2: Rearranging the equation
Now, we want to express the ratio \( \frac{A}{B} \). We can rearrange the equation:

\[ \frac{A}{B} = \frac{14}{15} \]

### Step 3: Write the ratio
Thus, the ratio of Anjali's stamps to Ishan's stamps is:

\[ A : B = 14 : 15 \]

### Final Answer
The ratio of Anjali's stamps to Ishan's stamps is \( 14 : 15 \).

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