Rosita earns money by walking dogs after school and on weekends.She walks Madeline every other day,Buddy every fourth day,and Ernie every fifth day.Today she walked all three dogs.Which dogs will Rosita walk 62 days from today?
Divide the number of days total (62) by the number of days between walks. If you get a result with no remainder then that dog will be walked that day.
To determine which dogs Rosita will walk 62 days from today, we need to find the common multiples of the intervals at which she walks each dog.
- Madeline is walked every other day, so the interval is 2 days.
- Buddy is walked every fourth day, so the interval is 4 days.
- Ernie is walked every fifth day, so the interval is 5 days.
To find the common multiples of these intervals, we can list out the multiples of each number until we find a common multiple:
2: 2, 4, 6, 8, 10, 12, 14, ...
4: 4, 8, 12, 16, 20, 24, ...
5: 5, 10, 15, 20, 25, ...
The common multiples are 20, 40, 60, 80, ...
Since we are looking for the dogs she will walk 62 days from today, we can see that she will walk the dogs with intervals of 20 days. By adding 20 days repeatedly, we can determine the dogs she will walk:
62 days → 20 + 20 + 20 + 2
Therefore, Rosita will walk Madeline and Buddy 62 days from today, but not Ernie.