Answer:
6x + 10 = 100
Explanation:
Given
Six tables held the same amount of students
let the number of student held by 1 table = x
since there are 6 table holding same number of students
number of student held by 6 table = 6*x = 6x
given that
number of students held in a line = 10
therefore
total number of students = number of student held by 6 table + number of students held in a line
total number of students in cafeteria = 6x + 10
also given
One hundred students go to the cafeteria to eat lunch
6x + 10 = 100
6x = 100 - 10 = 90
x = 90/6 = 15
thus,
the number of student held by 1 table = 15
thus, required equation can be used to find the number of students sitting at each table is 6x + 10 = 100