Hello, DINOCALC09!

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: .

Hence: .

Therefore, he must make12cuts.