a herd of cows gives 4 litres of milk everyday. Every cow gives one-third of total milk. if they give 24 litres of milk in six days, how many cows are there in the herd?

To solve this problem, let's break it down step by step:

1. **Total Milk in One Day:**  
   The herd gives 4 liters of milk every day.

2. **Milk Given Over Six Days:**  
   In six days, the herd gives \( 4 \times 6 = 24 \) liters of milk.

3. **Milk Given by Each Cow in One Day:**  
   Every cow gives one-third of the total milk. So, each cow gives \(\frac{1}{3}\) of the total milk in a day.  
   If \( x \) is the total number of cows, then each cow gives \(\frac{4}{3}\) liters of milk per day.

4. **Total Milk in Six Days by One Cow:**  
   In six days, one cow gives \( \frac{4}{3} \times 6 = 8 \) liters of milk.

5. **Number of Cows:**  
   Since the total milk produced by the herd in six days is 24 liters and each cow gives 8 liters in six days, the number of cows \( x \) can be found by:
   \[
   x = \frac{24}{8} = 3
   \]

So, there are **3 cows** in the herd.

Would you like more details on any part of this solution, or have any other questions?

Here are five related questions you might find interesting:
1. If each cow gave 1/4 of the total milk instead of 1/3, how many cows would be in the herd?
2. How much milk would the herd give in 10 days?
3. If the herd consisted of 5 cows, how much milk would they give in one day?
4. If the total amount of milk given by the herd doubled, how many cows would be needed?
5. What is the total milk given by each cow in 3 days?

**Tip:** When dealing with fractions in problems, it's helpful to write down what each part of the fraction represents to avoid confusion and make calculations easier.

Learn how to solve a math problem involving a herd of cows that produce 24 liters of milk in six days. Understand the concept of fractions and multiplication used to determine the number of cows in the herd. Suitable for middle school students.

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