Final answer:
To find the fraction of students who like green or pink, we need to calculate the total number of students who like green and pink combined and divide it by the total number of students. The fraction of students who like green or pink is 5/8.
Step-by-step explanation:
To find the fraction of students who like green or pink, we need to calculate the total number of students who like green and pink combined and divide it by the total number of students. Let's go step-by-step:
Given that one-eighth of the students like red, we can let the total number of students be represented by 8. So, there are 1 student who likes red.
Twice as many students prefer blue, so there are 2 x 1 = 2 students who like blue.
Three times as many students prefer pink, so there are 3 x 1 = 3 students who like pink.
To find the number of students who like green, we subtract the students who like red, blue, and pink from the total number of students:
Total number of students = 8 students - 1 student (red) - 2 students (blue) - 3 students (pink) = 2 students
Therefore, the fraction of students who like green or pink is (2 + 3) / 8 = 5/8.