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.)

Answers

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