Math Is Fun Forum

Indie

Member

Registered: 2011-04-21

Posts: 2

Solving for the beloved Venn

Hi!

I have been struggling with this one for a couple days now and I normally like to keep on it until I get the answer but I'm just going in circles - help please!

I have a 3 circle Venn:

Three groups
A = 16000
B=10000
C=4100

A only = 11%
B only = 7%
C only = 1%
A and B = 36%
B and C = 5%
A and C = 2%
A and B and C = 38%

What is n?

gAr

Member

Registered: 2011-01-09

Posts: 3,482

Re: Solving for the beloved Venn

Hi Indie,

A and B = 36%
B and C = 5%
A and C = 2%

It should be
(A and B) only = 36% etc., to be precise.

Three groups
A = 16000
B=10000
C=4100

We get A = 87%, B=86% and C=46%.
Hence A and B should have had close values. Are you sure you got the question correct?

---

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

soroban

Member

Registered: 2007-03-09

Posts: 452

Re: Solving for the beloved Venn

. .

. What are these numbers?

. .

.

Indie

Member

Registered: 2011-04-21

Posts: 2

Re: Solving for the beloved Venn

Hmmm I was trying to leverage the same percent relationships from one situation to another and I guess it doesn't work.  What if:
A = 1419
B = 1396
C = 740

and the same percent relationships provided above applied?  How would you solve for N which is the unique number of people?

gAr

Member

Registered: 2011-01-09

Posts: 3,482

Re: Solving for the beloved Venn

Hi,

That doesn't work either.

You may try:

A = 65709834498
B = 64954549044
C = 34743130884

---

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."