Problem Statement:
A farmer grows wheat in 3/8 and vegetables in 1/3 of his land. He also uses 1/6 of his land for growing flowers and remaining 3 hectares for planting maize. How much land does the farmer have?

Solution:
To find out the total land the farmer has, we need to add up the land used for growing wheat, vegetables, flowers, and maize.

Step 1: Calculate the land used for growing wheat
The farmer grows wheat in 3/8 of his land. Let's assume that the total land the farmer has is x hectares.
So, the land used for growing wheat = 3/8 x hectares.

Step 2: Calculate the land used for growing vegetables
The farmer grows vegetables in 1/3 of his land. Using the same assumption as above, the land used for growing vegetables = 1/3 x hectares.

Step 3: Calculate the land used for growing flowers
The farmer uses 1/6 of his land for growing flowers. So, the land used for growing flowers = 1/6 x hectares.

Step 4: Calculate the land used for growing maize
The farmer uses 3 hectares for planting maize.

Step 5: Find the total land the farmer has
To find the total land the farmer has, we need to add up the land used for growing wheat, vegetables, flowers, and maize.
Total land = Land used for growing wheat + Land used for growing vegetables + Land used for growing flowers + Land used for planting maize
Total land = 3/8 x + 1/3 x + 1/6 x + 3
Total land = (9x + 8x + 4x + 72)/24
Total land = 21x/24

Step 6: Simplify the expression
21x/24 represents the total land the farmer has. To simplify this expression, we can divide both the numerator and denominator by 3.
Total land = 7x/8

Step 7: Find the value of x
We know that the total land the farmer has is equal to 7x/8. We also know that the farmer uses 3 hectares for planting maize. So, we can write the equation as:
7x/8 = 3 + x
Solving this equation, we get:
7x = 24 + 8x
x = 24

Step 8: Answer
Therefore, the farmer has a total of 24 hectares of land.

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