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# Number of Chickens Sold

**How many Chickens were sold by the farmers?**

A farmer sold chickens to four different customers on a particular day. Where the number of chickens sold is unknown.

**Premise – **It was in a manner in which each customer purchased half of the remaining chickens and half a chicken more. Here, the number of chickens sold is unknown.

Hint – The fourth customer bought a single chicken.

Objective – Can you find out how many chickens were sold by the farmer on that day?

### The solution to the Chicken Puzzle

As we know that the fourth customer bought only one chicken from a total lot of chickens. So here is the method to find the total number of chickens.

With the help of the given information, we can form an equation where the total number of chickens sold can be written as:-

Total = \frac{x}{2} + \frac{1}{2}

As we already know that the fourth customer bought 1 chicken so the total = 1.

Now keeping the equation equal to 1, we can deduce x, which will be equal to 3.

Therefore, repeating the same method again and again we will reach the first customer. Therefore, the number of chickens bought by each one them is as follows:-

- The 1st customer bought Total = \frac{15}{2} + \frac{1}{2} = 8 (leaving 7)
- The 2nd customer bought Total = \frac{7}{2} + \frac{1}{2} = 4 (leaving 3)
- The 3rd customer bought Total = \frac{3}{2} + \frac{1}{2} = 2 (leaving 1)
- The 4th customer bought Total = \frac{1}{2} + \frac{1}{2} = 1

When we add the numbers, we get = 8 + 4 + 2 + 1 = 15.

Therefore, a total of 15 chickens were sold by the farmer on a particular day.

To practice more puzzles to master your interview preparation, visit our Top 100 puzzles page for interview preparation.

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