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In a basket there are 50 flowers. A man ...

In a basket there are `50` flowers. A man goes to worship and puts as many flowers in each temple as there are temples in the city. Thus, he needs `8` baskets of flowers. Find the number of temples in the city.

A

`30`

B

`29`

C

`20`

D

`65`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will follow these calculations: ### Step 1: Calculate the total number of flowers The man has 8 baskets of flowers, and each basket contains 50 flowers. Therefore, we can calculate the total number of flowers as follows: \[ \text{Total flowers} = \text{Number of baskets} \times \text{Flowers per basket} = 8 \times 50 \] Calculating this gives: \[ \text{Total flowers} = 400 \] ### Step 2: Determine the number of temples According to the problem, the man puts as many flowers in each temple as there are temples in the city. Let \( n \) be the number of temples. Thus, he puts \( n \) flowers in each temple, and since he has a total of 400 flowers, we can express this relationship as: \[ n \times n = 400 \] This simplifies to: \[ n^2 = 400 \] ### Step 3: Solve for \( n \) To find the number of temples, we need to take the square root of both sides of the equation: \[ n = \sqrt{400} \] Calculating the square root gives: \[ n = 20 \] ### Conclusion Thus, the number of temples in the city is **20**. ---
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