A half-life of 9 minutes corresponds to a decay factor <em>k</em> such that
Then the time it takes for the substance to decay from 610 g to 124 g is time <em>t </em>such that
Solve for <em>t</em> :
so it takes about 20.7 min for the 610 g sample to decay down to 124 g.
So if 24 people chose popcorn and there is a total of 60 people surveyed, the fraction would be 24/60. You still need to simplify the fraction, so divide 24/60 by 4 to get 6/15. Hope this helps. -S