Question

Mrs. Flossi is hosting a trivia contest for 40 students and 24 staff. For fairness, she wants the same number of students and staff on each team. What is the greatest number of teams she can make?

a. 4
b. 6
c. 8
d. 12

Answer 1

The greatest number of trivia teams Mrs. Flossi can create with an equal number of students and staff is determined by finding the GCD of 40 and 24, which is 8.

Step-by-step explanation:

To determine the greatest number of teams Mrs. Flossi can make, we need to find the greatest common divisor (GCD) of 40 and 24. The GCD of 40 and 24 is 8, which means there can be 8 teams with an equal number of students and staff on each team. and we need to find the greatest common divisor (GCD) to determine the maximum number of even teams that can be made. The GCD of 40 and 24 is 8, which means the largest number of teams that can be formed with equal numbers of students and staff is 8. Therefore, the correct answer is c. 8.