Given:
Initial number of pieces Myra have = 800.
Every 5 days she places one quarter of the remaining pieces into the puzzle.
To find:
The number of remaining pieces after 23 days.
Solution:
Initial number of pieces Myra have = 800.
Every 5 days she places one quarter of the remaining pieces into the puzzle.
It means, she will place the puzzles on 5,10,15,20,25,.. days. she will place the puzzle 4 times before 23 days.
The number of remaining pieces decreasing by .
Formula for number of remaining pieces is
where, is the initial value, r is decreasing rate and t is time.
Putting and t=4, we get
Approximate the value to the nearest whole number.
Therefore, the number of remaining pieces is 253.