If stacy jogs every 3rd day and swims every 4th day what day of the week will she end up on
That depends upon which day of the week she starts this routine.
If she starts on Monday, she'll jog on
1st week: Thursday, Sunday
2nd week: Wednesday, Saturday
3rd week: Tuesday, Friday
4th week: Monday, Thursday, Sunday
Fill out the same kind of schedule for her swimming.
It's a LCM question. It's Thursday.
Yep it’s Thursday
To determine what day of the week Stacy will end up on, we need to find the least common multiple (LCM) of the numbers 3 and 4. The LCM is the smallest number that is divisible by both 3 and 4 without any remainder.
First, let's list the multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24,...
Now list the multiples of 4: 4, 8, 12, 16, 20, 24,...
From these lists, we find that the LCM of 3 and 4 is 12. So Stacy's jogging and swimming cycles align every 12 days.
Now, determine the current day of the week. Let's say it is Monday.
Since the cycle repeats every 12 days, find the remainder when the number of days elapsed is divided by 7 (the number of days in a week). In this case, we need to find the remainder of 12 divided by 7, which is 5.
So, after 12 days, Stacy will end up on the 5th day of the week, which is Friday.