Question

Emory goes to the park every 10 days, Isabella goes to the park every 6 days. If Isabella and Emory both go to the park today, how many days will it be until the next time they both go to the park on the same day

Answer 1

To determine when both Emory and Isabella will visit the park together again, we calculate the Least Common Multiple (LCM) of their visiting cycles, which is 60 days.

Step-by-step explanation:

To find out when Emory and Isabella both go to the park on the same day again, we need to calculate the Least Common Multiple (LCM) of their visit cycles. Emory's cycle is every 10 days and Isabella's is every 6 days. To find the LCM of 10 and 6, we list out the multiples:

• 10, 20, 30, 40, 50, 60, ...
• 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...

Here we can see that the smallest common multiple they share is 60. Therefore, Emory and Isabella will both go to the park on the same day in 60 days.