Question

a school had 690 students sign up for the trivia teams if they wanted to have nine teams with the same number of students on each team how many more students would need to sign up

Answer 1

3 more students need to sign up

Explanation:

Let the equal number of students in 9 teams be x.

Total number of signed up students = 690.

Let t be the required number of students to be signed.

Therefore, 9x = 690+t.

This means, 690+t is a multiple of 9.

The least value of t to make 690+t, a multiple of 9 is 3 and hence,

`(693)/(9)`

= 77

Hence, 3 more students need to sign up and each of the 9 teams consists of 77 students.