If you cut off half a strip of paper then you cut off half of the piece that is left, then you cut off half of the remaining piece, what fraction of the original strip is left

You are choosing between two health clubs. club a offers membership for a fee of $ 28 plus a monthly fee of $ 20. club b offers membership for a fee of $ 20 plus a monthly fee of $ 22. after how many months will the total cost of each health club be the same? what will be the total cost for each club? in __ months the total cost of each health club will be the same.