Final answer:
The least number of team shirts Stefani can make without any supplies left over is 15, as this is the least common multiple of 3 (patches in a pack) and 5 (shirts in a pack).
Step-by-step explanation:
The student's question pertains to finding the least number of team shirts Stefani can make without having any supplies left over, given that patches come in packs of 3 and shirts come in packs of 5. We are looking for the least common multiple (LCM) of 3 and 5, which is the smallest number that both 3 and 5 can divide into without leaving a remainder. The LCM of 3 and 5 is 15, because 15 is the smallest number that both 3 and 5 can evenly divide into (3 patches will be used for 5 shirts each getting one patch). Therefore, the answer is 15 team shirts (Option d).