Question

On Monday morning Mr. Smith had a certain amount
of money that he planned to spend during the week. On
each subsequent morning, he had one fourth the amount
of the previous morning. On Saturday morning, 5 days
later, he had $1. How many dollars did Mr. Smith originally start with on Monday morning? (Disregard the$ sign when gridding your answer.)

1. 1024 dollars did Mr. Smith originally start with on Monday morning.

### How many dollars did Mr. Smith originally start with on Monday morning?

Let M represent the initial sum of money Mr. Smith possessed.
According to the formula, Monday money equals M
Tuesday’s money equals M/4
Wednesday’s money equals M/16
Thus, GP M, M/4, M/16, M/64,… are formed.
Money equaled one on the fifth day, which was Saturday.
(ar)⁵ = 1
M(1/4)⁵ = 1.
M = 4⁵ = 2¹⁰ = 1024.