There are 40 girls and 32 boys who want to participate in 6th grade intramurals. If each team must have the same number of girls and the same number of boys, what is the greatest number of teams that can participate in intramurals? How many girls and boys will be on each team?

Respuesta :

8 teams: 5 girls and 4 boys

Answer:

i. The greatest number of teams to participate in the intramurals is 8.

ii. Each team would comprise 5 girls and 4 boys.

Step-by-step explanation:

Intramurals are sport activities that are sometimes organized by educational union for recreational purpose.  Examples include; baseball, basket ball, lawn tennis etc.

From the question, it was stated that the same number of girls and the same number of boys must be in each team. Since there are 40 girls and 32 boys to participate in the intramural, then let us consider maximum number that is both a factor of 40 and 32. This number is 8.

Thus, 8 teams can be formed.

number of girls in each team = [tex]\frac{40}{8}[/tex]

                                                = 5 girls

number of boys in each team = [tex]\frac{32}{8}[/tex]

                                                  = 4 boys

Therefore, 8 teams consisting of 5 girls and 4 boys each can be formed.