80 students in a group were asked what they had done during their summer holidays - Junior Cycle Mathematics - Question 6 - 2022

25% of the students got a job:

$$0.25 imes 80 = 20$$

Thus, 20 students got a job.

Out of the students who got a job, half also went on holidays:

rac{1}{2} imes 20 = 10

This means 10 students did both jobs and holidays.

To find those who went on holidays only, we subtract the students who did both from the total who went on holidays. Let H be the students who went on holidays:
Total students = 80, those neither = 16, and those who got a job = 20.
Thus, the students who went on holidays are:

$$H = 80 - (16 + 20) = 44$$

Finally, the total number of students who went on holidays is:

$$10 + 44 = 54$$