This is mostly Arithmetic . . . Exactly where is your difficulty?
Alejando cuts sheets of paper to make ballots.
1 cut = 2 Ballots
2 cut = 4 Ballots
3 cut = 8 Ballots
4 cut = 16 Ballots
5 cut = 32 Ballots
. . and so on ...
From this you can get the equation: .
(a) Say that a stack of 250 sheets of paper is 1 inch high.
How high would a stack of ballots be after 20 cuts?
After 20 cuts, there are: . ballots.
At 250 to an inch, the stack is: .
(b) How many cuts would Alejandro need to make to have a stack of ballots 1 foot high?
We have: .
Take logs: .
Therefore, he must make 12 cuts.