Final answer:
The question involves finding the first common practice day for Matt's soccer practices and another person's baseball practices. Matt practices every fourth day starting May 4, and the baseball practices occur every third day starting May 3. Upon listing the practice days for both schedules, May 12 is identified as the first day they both have practice.
Step-by-step explanation:
The question at hand involves Matt and his soccer practices and another individual who has baseball practices on different schedules. To find the first day on which Matt and the baseball player both have practice, we need to determine the sequence of days on which each person has practice and then identify the first common day in both sequences.
Matt has soccer practice starting on May 4 and will practice every fourth day after that. So, Matt's practice days are May 4, May 8, May 12, and so on. The other person begins baseball practice on May 3 and continues every third day after that. Therefore, the baseball practice days are May 3, May 6, May 9, and so on.
To find the first common practice day, we can list out the dates for each practice schedule until we see a match:
- Soccer (every 4th day): May 4, May 8, May 12, May 16, May 20, May 24, May 28, ...
- Baseball (every 3rd day): May 3, May 6, May 9, May 12, May 15, May 18, May 21, ...
By comparing the two lists, we see that May 12 is the first day that appears in both sequences. Thus, May 12 is the first day they both have practice.