b) Los 36 participantes del equipo de fútbol y los 48 del equipo de básquet deben formar igual cantidad de grupos para un concurso. ¿Cuál será la mayor cantidad de grupos de fútbol y de básquet que pueden formarse?



Answer :

Final answer:

The answer explains how to find the maximum number of groups for both soccer and basketball teams based on the highest common factor.


Explanation:

The largest number of groups that can be formed for both the soccer and basketball teams can be calculated by finding the highest common factor of 36 and 48.

To find the highest common factor, you can use the prime factorization method: 36 = 2233 and 48 = 2222*3. The highest common factor between 36 and 48 is 12.

Therefore, the maximum number of groups that can be formed for both teams is 12 groups each.


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