Question

There is an unknown number of people at the beginning of lunch. Then* Each student had two friends come sit with them, tripling the amount* Then the entire group divided into five groups, and all but one group left and went outside, so only 1/5 of the totalstudents were left in the lunch room.* 3 more people came into the lunchroom* The total number of people in the lunchroom at the end of lunch was 11Which of the following equations would represent the story above to help us find how many people were in the lunchroom at the beginning?

Answer 1

x --> represents the students

Then,

each student had two friends come sit with them, tripling the amount: 3x

Then, the entire group divided into five groups: 3x/5

And 4/5 of the students went outside: 3x/5-4/5

Three more people came into the lunch room: 3x/5-4x/5+3

The total number of people in the lunchroom at the end was 11, so:

`(5x)/(3)+3=11`