Shanti divided 40 stamps between Roma and Teena in the ratio of 1: 3. How many stamps did Teena get ?

Question

Accepted Answer

To determine how many stamps Teena received, we need to understand the division of stamps between Roma and Teena according to the given ratio of 1:3. This means that for every 1 stamp Roma receives, Teena receives 3 stamps.

1. **Calculate the total parts in the ratio:**
   - The ratio 1:3 consists of 1 part for Roma and 3 parts for Teena, making a total of 1 + 3 = 4 parts.

2. **Determine the value of each part:**
   - Shanti has a total of 40 stamps to distribute. To find the value of one part, divide the total number of stamps by the total number of parts in the ratio:
     $$
     \text{Value of one part} = \frac{40}{4} = 10
     $$

3. **Calculate the number of stamps Teena receives:**
   - Since Teena's share is 3 parts, multiply the value of one part by 3:
     $$
     \text{Stamps Teena receives} = 3 \times 10 = 30
     $$

Therefore, Teena receives 30 stamps, which corresponds to Option 2.

**Explanation of why other options are incorrect:**

- **Option 1 (10 stamps):** This option suggests that Teena received only 10 stamps. However, since Teena's share is 3 parts and each part is worth 10 stamps, this option is incorrect because it does not account for the full 3 parts allocated to Teena.

- **Option 3 (20 stamps):** This option implies that Teena received 20 stamps. Given that each part is worth 10 stamps, 20 stamps would correspond to 2 parts, not the 3 parts that Teena is supposed to receive according to the ratio.

- **Option 4 (25 stamps):** This option suggests that Teena received 25 stamps. Since each part is worth 10 stamps, 25 stamps would not correspond to a whole number of parts, making this option incorrect as it does not align with the integer-based division of parts in the ratio.

In conclusion, Option 2 is the correct answer because it accurately reflects the distribution of stamps according to the given ratio of 1:3, where Teena receives 30 stamps.