Final answer:
The smallest number of ride tickets Annabelle and Amberly each could have bought is 15, which is the least common multiple (LCM) of 5 and 3.
Step-by-step explanation:
The problem needs us to find the smallest number of tickets that both Annabelle and Amberly could have bought, which can be divided both by 5 and 3.
This involves finding the Least Common Multiple (LCM) of 5 and 3. The multiples of 5 are 5, 10, 15, 20, 25, and the multiples of 3 are 3, 6, 9, 12, 15.
The smallest number that appears in both lists is 15, which is the LCM of 5 and 3.
Therefore, the smallest possible number of tickets they each bought is 15 tickets.