Question

You have 1000 one dollar bills. Arrange them into 10 envelopes

so that you can dispense any amount of money from 1 to 1000 by
using a combination of envelopes. What would be the amount of one
dollar bills that should be place into each of the ten
envelopes?

Answer 1

1; 2; 4; 8; 16; 32; 64; 128; 256; 489.

Explanation:

Start by putting only one dollar bill in the first envelope and then double the amount on each subsequent envelope as follows:

$1; $2; $4; $8; $16; $32; $64; $128; $256; $512.

Adding up the above values gives us $1,023. Since we only have $1,000 available, subtract $23 from the last envelope. The amount of one dollar bills that should be place into each of the ten envelopes is:

1; 2; 4; 8; 16; 32; 64; 128; 256; 489.