Question

Cynthia takes her dog to the park every 2 days. She bathes her dog every 7 days. If she took her dog to the park and bathed him today, how long will it be until she does both on the same day again?

Answer 1

Cynthia will take her dog to the park and bathe her dog on the same day again in 14 days, as the Least Common Multiple of the two frequencies (every 2 days and every 7 days) is 14.

Step-by-step explanation:

To determine when Cynthia will both take her dog to the park and bathe her dog on the same day again, we need to find the Least Common Multiple (LCM) of the two frequencies: taking the dog to the park every 2 days, and bathing the dog every 7 days. The LCM of 2 and 7 is 14, which is the smallest number that is a multiple of both 2 and 7. Therefore, Cynthia will take her dog to the park and bathe him on the same day again in 14 days.