One hundred students go to the cafeteria to eat lunch. Six tables held the same amount of students while an additional 10 students stood in line. Which equation can be used to find the number of students sitting at each table?

6x + 10 = 100

Step-by-step 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

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