Answer:
There are 9 teams possible each having 14 third-graders, 20 Fourth-graders, 22 Fifth-graders
Step-by-step explanation:
126 third-graders
180 fourth-graders
198 fifth-graders
Find the highest common factor of 126, 180, 198
Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126.
Factors of 180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Factors of 198: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198.
The highest common factor of 126, 180, 198 is 9
The largest possible number of teams that can be formed is 9
Each team has
third-graders = 126 / 9
= 14
Fourth-graders = 180 / 9
= 20
Fifth-graders = 198 divided by 9
= 22
There are 9 teams possible each having 14 third-graders, 20 Fourth-graders, 22 Fifth-graders