Jamie and Nathan make money by walking neighborhood pets. During a conversation about their work, they realize that they are both walking the same total number of pets, even though Jamie walks pets in groups of 3 and Nathan walks pets in groups of 4. What is the smallest total number of pets each could be walking?
Question
Jamie and Nathan make money by walking neighborhood pets. During a conversation about their work, they realize that they are both walking the same total number of pets, even though Jamie walks pets in groups of 3 and Nathan walks pets in groups of 4. What is the smallest total number of pets each could be walking?
Solution
To solve this problem, we need to find the least common multiple (LCM) of 3 and 4, because that would be the smallest number of pets that both Jamie and Nathan could be walking.
Step 1: List the multiples of each number.
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60...
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60...
Step 2: Find the least common multiple.
The smallest number that appears in both lists is 12.
So, the smallest total number of pets each could be walking is 12.
Similar Questions
By coincidence, Trevor's Obedience School trained the same number of dogs and cats last week. The school teaches dogs in groups of 7 and cats in groups of 15. What is the smallest number of cats the school could have had?
Bobby tutors students in groups of 8. Meanwhile, Polly tutors students in groups of 12. While discussing their work, the tutors realize that they both work with the same total number of students. What is the smallest number of students each can have?
f any family that has exactly 2 pets does not have pet dogs, what is the minimum total number of pet dogs that the families with exactly 3 pets must have? 22 48 54 50
Florence tutors students in groups of 18. Meanwhile, Harold tutors students in groups of 13. While discussing their work, the tutors realize that they both work with the same total number of students. What is the smallest number of students each can have?
There are 49 dogs signed up for a dog show. There are 36 more small dogs than large dogs. How many small dogs have signed up to compete?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.