In a basket , there are 125 flowers . A man goes to worship and offers an many flowers at each temple as there are temples in the city , thus he needs 5 baskets of flowers . Find the number of temples in the city

Options

A. 25
B. 24
C. 27
D. 26

Answer

To solve the problem step by step, we will follow the reasoning laid out in the video transcript.

### Step 1: Understand the Problem
We know that there are 125 flowers in one basket. The man offers flowers at each temple equal to the number of temples in the city. He needs 5 baskets of flowers to do this.

### Step 2: Define Variables
Let \( X \) be the number of temples in the city.

### Step 3: Calculate Total Flowers Needed
Since the man offers \( X \) flowers at each temple and there are \( X \) temples, the total number of flowers he offers is:
\[ \text{Total flowers offered} = X \times X = X^2 \]

### Step 4: Calculate Total Flowers Available
The man needs 5 baskets of flowers, and since each basket contains 125 flowers, the total number of flowers he has is:
\[ \text{Total flowers available} = 5 \times 125 = 625 \]

### Step 5: Set Up the Equation
From the above steps, we can set up the equation:
\[ X^2 = 625 \]

### Step 6: Solve for \( X \)
To find \( X \), we take the square root of both sides:
\[ X = \sqrt{625} \]
Calculating the square root gives:
\[ X = 25 \]

### Step 7: Conclusion
Thus, the number of temples in the city is \( 25 \).

### Final Answer
The number of temples in the city is **25**.

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