algebra/general help

[simple finch]

one hundred people are standing in a line and they are required to count off in fives as 'one, two three, four, five, one, two, three, four, five,' and so on from the first person in the line. Anyone who counts 'five' walks out of the line. Those remaining repeat this procedure until only four people remain in the line. What was the original position in the line of the last person to leave?

[ancient ruin]

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[scenic sand]

At first I tried it with a simpler question, instead of counting to 5 people count to 2 and instead of the 4th person the game goes till the last person

I tried to see what person it would end with if the initial number of people were 1,2,3 and so on

I later took the initial amount of people as x and the final placement as y

I believe I am not allowed to give solutions but if you do that you can plot a graph which you can use to understand the question

Or you can start trying to solve it with 2 instead of 5 and understand how to create the formula and do the same for 5

[simple finch]

alright thank u

+close