The ratio of the number of senior tickets sold to the number of adult tickets is 2:3. The ratio of the number of adult tickets to the number of student tickets 6:15. If 24 senior tickets were sold, how many adults and student tickets were sold altogether?

126 tickets (adults and student)

Step-by-step explanation:

Since 24 senior tickets were sold, 24 divided by 2 (from the senior to adult ratio) is 12. Now 3 times 12 is 36, so we've figured out the first part. The ratio for senior tickets to adults tickets is 24:36. Now, if there were 36 adult tickets sold, then 36 divided by 6 (from the adult to senior ratio) is 6. 15 (from the adult to senior ratio) times 6 is 90. That means 90 student tickets were sold. Since the question is "how many adults and student tickets were sold altogether?" (keyword, altogether), we'll add the two. 36 plus 90 is 126, so that means the final answer is 126.