MHB Redistributing Percentages: How to Anchor 0 to 10% and Maintain a Total of 100%

  • Thread starter Thread starter kris123
  • Start date Start date
Click For Summary
To redistribute percentages while anchoring 0 to 10%, the original percentages must be adjusted to maintain a total of 100%. The proposed method involves calculating the new values based on the remaining percentages after allocating 10% to "0". For example, the new distribution suggests that "1" increases to 37.6%, "2" to 28.2%, "3" to 14.8%, and "4" to 9.4%. This approach ensures that the total remains 100% while reflecting the desired anchoring. The calculations illustrate how to proportionally adjust the remaining percentages based on the initial distribution.
kris123
Messages
1
Reaction score
0
Hi everyone,

I have a questions. I have these percentages. If I want to anchor 0 to 10%, how do I redistribute the rest of the percentages to still equal 100?

0 33%
1 28%
2 21%
3 11%
4 7%Thanks!
 
Mathematics news on Phys.org
Background information as to how the present
distribution was arrived at is required.

Like if 100 apples are used, "0" gives away 23
leaving 10: how is the 23 distributed?

Possibly 28% (23 * .28 = 6.44...so 6?)
to "1", similarly for the others.

A possibility is:
"1" to "4" = 28+21+11+7 = 67
"1"'s ratio: 28/67 ; applying to the 33-10 = 23:
28/67 * 23 = 9.6 : so "1" becomes 28+9.6 = 37.6
Similarly: "2" = 28.2, "3" = 14.8, "4" = 9.4

So new breakdown:
0 10
1 37.6
2 28.2
3 14.8
4 09.4
====
100.0
 
Last edited:
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 11 ·
Replies
11
Views
9K
  • · Replies 24 ·
Replies
24
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
3
Views
815
Replies
4
Views
2K
Replies
2
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K