In a garden of 42 trees. `3/7` of them are Neem trees and the rest are Mango trees. Find the number of Mango trees.

Options

A. 16
B. 24
C. 20
D. 18

Answer

To find the number of Mango trees in a garden of 42 trees where \( \frac{3}{7} \) of them are Neem trees, we can follow these steps:

### Step 1: Calculate the number of Neem trees
To find the number of Neem trees, we need to multiply the total number of trees by the fraction that represents the Neem trees.

\[ \text{Number of Neem trees} = \frac{3}{7} \times 42 \]

### Step 2: Perform the multiplication
Now, we will calculate \( \frac{3}{7} \times 42 \).

\[ \text{Number of Neem trees} = \frac{3 \times 42}{7} = \frac{126}{7} = 18 \]

### Step 3: Calculate the number of Mango trees
Now that we know the number of Neem trees, we can find the number of Mango trees by subtracting the number of Neem trees from the total number of trees.

\[ \text{Number of Mango trees} = \text{Total trees} - \text{Number of Neem trees} \]

\[ \text{Number of Mango trees} = 42 - 18 = 24 \]

### Final Answer
The number of Mango trees in the garden is **24**.

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