Question

Smith goes for swimming lessons every five days, while Tracy goes every six days. If both Smith and Tracy had swimming lessons together at the pool today, after how many days will they both meet again at the pool for lessons?

Answer 1

Smith and Tracy will both meet again at the pool for swimming lessons after 30 days, as 30 is the Least Common Multiple (LCM) of their individual schedule intervals of 5 and 6 days.

Step-by-step explanation:

To find out after how many days Smith and Tracy will meet again at the pool for lessons, we need to calculate the Least Common Multiple (LCM) of their swimming schedules. Smith goes to swimming lessons every 5 days, and Tracy goes every 6 days. Therefore, we are looking for the smallest number that is both a multiple of 5 and 6.

1. List the multiples of 5 (5, 10, 15, 20, 25, 30, ...)
2. List the multiples of 6 (6, 12, 18, 24, 30, ...)
3. Find the smallest common multiple in both lists.

The smallest number that appears in both lists is 30.

Therefore, Smith and Tracy will meet again at the pool for lessons after 30 days.