Question

A school principal plans to form teams from 210 third graders, 255 fourth-graders, and 225 fifth graders so that there is the same number of students from each grade level on each team. If all the students participate, what is the largest possible number of teams and how many students will there be on each team?

a) 15 teams with 21 students each
b) 21 teams with 15 students each
c) 7 teams with 45 students each
d) 45 teams with 7 students each

Answer 1

The largest possible number of teams is 46 teams with 15 students each.

Step-by-step explanation:

To find the largest possible number of teams with the same number of students from each grade level, we need to find the greatest common divisor (GCD) of the number of students in each grade level. The GCD of 210, 255, and 225 is 15. This means that each team will have 15 students. To find the number of teams, we divide the total number of students by the GCD. The total number of students is 210 + 255 + 225 = 690. So, the largest possible number of teams is 690 / 15 = 46 teams.