by hales123 on February 20th, 2007

Question

Help answer this question below.

At a new years eve party, each person in the room kissed every person in the room. If there were 190 kisses total, how many people were at the party?

Like
Report

Share:: Facebook; Twitter; Other

Answers. 10 helpful answers below.

by -O-uknow on July 20th, 2007
20 people who each kissed 19. Half are shared and count as one. 20 times 19 equals 380 divided by two equals 190?
Comments
- That makes the most sense here. I agree with the 20 people. :-)
  
  Report
  
  by Carnivalius on July 21st, 2007
- It can also be expressed as 1+2+3+...+19 = 190. Imagine all 20 people standing in a line. The first kisses all others down the line (19 in all) and exits. The next in line now goes down the line of 18, and so on, until two people are left to kiss each other once. The sum Σn = n(n+1)/2.
  
  Report
  
  by xprofessor on July 22nd, 2007
- Ah cheers for that. I was trying to think of how to come up with 20 people out of that without working it out the hard way. I was going with (190*2)^sqrt and then rounding up.
  
  Report
  
  by Carnivalius on July 22nd, 2007
Add a comment...
- Like
- Report
3 comments | Post one | Permalink
by Farino on July 23rd, 2007
The pattern follows the triangular rule: n(n-1)/2
People Kisses
1 0
2 1
3 3
4 6

190 = n(n-1)/2
380 = n(n-1)
0 = n^2 - n - 380

n = (-b +/- sqrt(b^2 - 4ac))/2a
n = (1 +/- sqrt(1 + 1520))/2
n = (1 +/- sqrt(1521))/2
n = (1 +/- 39)/2
n = 40/2 & = -38/2
n= 20 & = -19

You cannot have a negative number of people, hence n = 20!
Comments
Add a comment...
- Like
- Report
No comments. Post one | Permalink
by Slayerryan77 on July 20th, 2007
it's impossible because the square root of 190 which is what you need to do to figure out the answer is 13.78
Comments
- It's 19. You can't overlap people you've already kissed.
  
  Report
  
  by Sheepingly needs no handy men only hugs on July 20th, 2007
- Some math snob just DRed you so +6.
  
  Report
  
  by Kevisaurus is a Carnotaurus today on July 26th, 2007
- +5 for you too, because I hate math snobs! x(
  
  Report
  
  by Sheepingly needs no handy men only hugs on July 27th, 2007
- They just don't add up to being nice people.
  
  Report
  
  by Kevisaurus is a Carnotaurus today on July 27th, 2007
- LOL exactly.
  
  Report
  
  by Sheepingly needs no handy men only hugs on July 27th, 2007
Add a comment...
- Like
- Report
5 comments | Post one | Permalink
by Romiex69x on February 20th, 2007
15? I haven't taken any math classes in a while, I should be able to figure this out, but I can't
Comments
Add a comment...
- Like
- Report
No comments. Post one | Permalink
by Miklotov on February 20th, 2007
20 I think
Comments
- Why wasn't I invited to this party?
  
  Report
  
  by tt010101 on February 20th, 2007
Add a comment...
- Like
- Report
1 comment | Post one | Permalink
by Punny on July 23rd, 2007
THAT WOULD DEPEND UPON WHOM YOU ARE SPEAKING WITH AT THE MOMENT!!! I'LL NEVER TELL...
Comments
Add a comment...
- Like
- Report
No comments. Post one | Permalink
by Quirkie on July 23rd, 2007
Another complete the square puzzle.

Suppose n people.

Each person kisses n-1 people.

But there are two people involved in each kiss, so the total number of kisses is n*(n-1)/2.

n * (n-1) / 2 = 190
n^2 - n = 380
(n - (1/2))^2 would be n^2 - n + (1/4), so
(n - (1/2))^2 - (1/4) = 380
(n - (1/2))^2 = 380 + 1/4 = 1521/4
n - (1/2) = +/- sqrt(1521/4) = +/- 39/2
n = 1/2 + 39/2
n = 40/2
n = 20
Comments
Add a comment...
- Like
- Report
No comments. Post one | Permalink
by Sheepingly needs no handy men only hugs on July 20th, 2007
19 people :)
Comments
- Some math snob just DRed you so +6.
  
  Report
  
  by Kevisaurus is a Carnotaurus today on July 26th, 2007
- LOL probably cause they think I copied them or someone hates me :D
  
  But thanks!
  
  Report
  
  by Sheepingly needs no handy men only hugs on July 27th, 2007
Add a comment...
- Like
- Report
2 comments | Post one | Permalink
by Kevisaurus is a Carnotaurus today on July 20th, 2007
I am going with 13 people here.
Comments
- Who's the asshole that down rated this legitimate best attempt.
  
  Report
  
  by Kevisaurus is a Carnotaurus today on July 23rd, 2007
- Please post your calculations so we can show you where the mistake is.
  
  Report
  
  by euphotic on July 26th, 2007
- I used a square root and I subtracted the number the total and looked for the square root again.
  I'm no math whiz but I thought that made sense to me.
  
  Report
  
  by Kevisaurus is a Carnotaurus today on July 26th, 2007
- That wouldn't work because n*n is the number of ordered pairs, but what you want is the number of unordered pairs, because if x and y are different people, you don't want to count (x kissing y) and (y kissing x) separately.
  
  Report
  
  by euphotic on July 26th, 2007
Add a comment...
- Like
- Report
4 comments | Post one | Permalink
by .avallach on July 20th, 2007
It's 20. I don't have a mathematical formula for you though I just drew it out on paper.
Comments
Add a comment...
- Like
- Report
No comments. Post one | Permalink

Question

At a new years eve party, each person in the room kissed every person in the room. If there were 190 kisses total, how many people were at the party?

Answers. 10 helpful answers below.

Comments

Comments

Comments

Comments

Comments

Comments

Comments

Comments

Comments

Comments

Did this answer your question? If not, then ask a new question or create a poll.

More Questions. Additional questions in this category.

Follow us on Facebook!

Related Ads

Related Questions

Which maths concept explains this one... There are 28 handshakes at a party where each person greets every other.How many people were there?

1 pm, 7 people in a room, 3 more are coming in an hour, 2 are leaving at 6pm, 9 people are showing up at 5pm and 4 are leaving, in 30 min 5 are leaving and returning at 8pm, party starts at 7, 12 people are expected at 7, how many will be there on time

Do you know of any hotel in Miami-Dade County that is having a New Year's Eve party where I can get a room 12/30/11 - 01/02/12?

I\'m 24 and I\'ve been with my girlfriend for 5 years. I kissed/danced with another girl while at a bachelor party in Vegas. This girl asked me back to her room but I turned her down. Should I tell my girlfriend?

If there are 14 people in a room, and each of them shook hands with every other person once, how many handshakes occur?

Professionally Researched

How many slices per person at a pizza party?

Where is the Party Room in Runescape?

Is silicon a benzene at room temperature?

Do hotels charge per person or per room?

What should I take to a christmas pizza party?

ANSWERBAG BUZZ

Answerbag.com
Your favorite Q&A site is on Facebook! Become a fan to connect with the ever-growing community of Answerbaggers, share your thoughts and find out what Answerbag's up to next!

Question

At a new years eve party, each person in the room kissed every person in the room. If there were 190 kisses total, how many people were at the party?

Answers. 10 helpful answers below.

Comments

Comments

Comments

Comments

Comments

Comments

Comments

Comments

Comments

Comments

Did this answer your question? If not, then ask a new question or create a poll.

More Questions. Additional questions in this category.

Follow us on Facebook!

Related Ads

Related Questions

Professionally Researched

ANSWERBAG BUZZ

Answerbag.com Your favorite Q&A site is on Facebook! Become a fan to connect with the ever-growing community of Answerbaggers, share your thoughts and find out what Answerbag's up to next!

Answerbag.com
Your favorite Q&A site is on Facebook! Become a fan to connect with the ever-growing community of Answerbaggers, share your thoughts and find out what Answerbag's up to next!