Rosita earns money by walking dogs after school and on weekends. She walks madeline evry other day. Buddy every fourth day, and Ernie every fifth day. Today she walked all three dogs.
How many days will it be before Rosita walks Madeline and Buddy on the same day.
how many people can receive equal $16 shares from a total of $496
4 days
To find out how many days it will be before Rosita walks Madeline and Buddy on the same day, we need to determine the least common multiple (LCM) of their walking schedules. The LCM is the smallest number that is divisible by both numbers.
Madeline is walked every other day, so her schedule repeats every 2 days.
Buddy is walked every fourth day, so his schedule repeats every 4 days.
To find the LCM, we can list the multiples of each number until we find a common multiple.
For Madeline: 2, 4, 6, 8, 10, 12, 14, ...
For Buddy: 4, 8, 12, 16, 20, 24, 28, ...
The first common multiple of 2 and 4 is 4. Therefore, it will take 4 days before Rosita walks both Madeline and Buddy on the same day.