At the pet fair, there are 42 dogs and 35 cats. The pets must be split into small groups so that there are the same number of dogs in each group in the same number of cats in each group. What is the greatest number of groups that can be made so that each in is in a group?

Question

Mathematics

Cristian Peterson

26 June, 20:55

At the pet fair, there are 42 dogs and 35 cats. The pets must be split into small groups so that there are the same number of dogs in each group in the same number of cats in each group. What is the greatest number of groups that can be made so that each in is in a group?

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Answers (1)

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Azul · Answer 1

The answer to your question is 7 groups

Step-by-step explanation:

Data

Total number of dogs = 42

Total number of cats = 35

The Number of groups = ?

Process

1. - Calculate the Greatest common factor (GCF)

42 35 2

21 35 3

7 35 5

7 7 7

1 1

The GCF is 7

2. - Conclusion

Each group will have 42/7 = 6 dogs and 35/7 = 5 cats

And there will be 7 groups in total.