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We are given the following information:

- \(\frac{2}{7}\) of the students have blue eyes.
- \(\frac{1}{3}\) of the class has green eyes.
- 6 students have blue eyes.

We are asked to find how many students have green eyes.

### Step 1: Calculate the total number of students in the class
Let \( x \) represent the total number of students in the class. Since \(\frac{2}{7}\) of the students have blue eyes and this is equal to 6 students, we can set up the equation:
\[
\frac{2}{7} \times x = 6
\]
To solve for \( x \), multiply both sides by \(\frac{7}{2}\):
\[
x = 6 \times \frac{7}{2} = 21
\]
So, the total number of students in the class is 21.

### Step 2: Find the number of students with green eyes
We are told that \(\frac{1}{3}\) of the class has green eyes. Thus, the number of students with green eyes is:
\[
\frac{1}{3} \times 21 = 7
\]

### Final Answer:
The number of students with green eyes is **7**.

Would you like further details or have any other questions?

Here are 5 related questions you might find useful:
1. What if \(\frac{1}{4}\) of the students had brown eyes instead of green?
2. How would you calculate the number of students if 8 had blue eyes?
3. What is the combined fraction of students with blue and green eyes?
4. How can you check if the total of blue and green-eyed students adds up correctly?
5. How many students in the class do not have blue or green eyes?

**Tip:** Always verify that the fractions sum up logically when dealing with fractions of a group!

In a class, 2/7 of the students have blue eyes and 1/3 of the class has green eyes. If 6 students in the class have blue eyes, how many have green eyes?

Learn how to find the number of students with green eyes in a class where 2/7 have blue eyes and 1/3 have green eyes. If 6 students have blue eyes, use fractions and proportions to determine the answer. Suitable for Grade 7 students.

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