Problem

In a class, $\frac{1}{7}$ of the students have blue eyes and $\frac{1}{3}$ of the class has green eyes.

If 3 students in the class have blue eyes, how many have green eyes?
Green =

Answer

Expert–verified
Hide Steps
Answer

Final Answer: The number of students with green eyes is \(\boxed{7}\).

Steps

Step 1 :We are given that the ratio of students with blue eyes to the total number of students is \(\frac{1}{7}\) and that there are 3 students with blue eyes.

Step 2 :We can use this information to find the total number of students in the class by dividing the number of students with blue eyes by the ratio of students with blue eyes to the total number of students. This gives us \(3 \div \frac{1}{7} = 21\) students in total.

Step 3 :We can find the number of students with green eyes by multiplying the total number of students by the ratio of students with green eyes to the total number of students, which is \(\frac{1}{3}\). This gives us \(21 \times \frac{1}{3} = 7\) students with green eyes.

Step 4 :Final Answer: The number of students with green eyes is \(\boxed{7}\).

link_gpt