Marti works Monday through Saturday, so she has a day off once every 7 days. She needs to give her dog some medicine every 5 days. How often does she give her dog medicine on her day off?
every 35 days the schedules coincide
every 35 days
To determine how often Marti gives her dog medicine on her day off, we need to find the common multiple of the two given intervals: every 7 days she has a day off, and every 5 days she needs to give her dog medicine.
First, let's find the multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, ...
Next, let's find the multiples of 5:
5, 10, 15, 20, 25, 30, 35, ...
From the lists above, we can see that both 35 and 70 are common multiples of 7 and 5.
Therefore, Marti gives her dog medicine on her day off every 35 days, or every 5 weeks.