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How Many Campers?

Math brain teasers require computations to solve.


Puzzle ID:#43328
Fun:*** (2.9)
Difficulty:** (1.57)
Submitted By:Thinker1995Acn*******




Camp Pineveiw's cook, Margaret Johnson, was just about to begin preparing the picnic lunch for all the campers. She already knew she needed to fill 55 bowls of the same size and capacity with the same amount of food. When she was done, she decided to read the guidelines for the picnic, just out of curiosity. The guidelines said:

1. Every camper gets their own bowl of soup.
2. Every two campers will get one bowl of spaghetti to share.
3. Every three campers will get one bowl of salad to share.
4. All campers are required to have their own helping of salad, spaghetti, and soup.

After some rapid calculations, Margaret was able to figure out how many campers were going to the picnic. Can you?

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Oct 13, 2008

An easy way to think about it: each camper gets 1 + 1/2 + 1/3 bowls, or 1-5/6, or 11/6. x times 11/6 = 55; 55 times 6/11 = x = 30.
Oct 14, 2008

I solved it by doing
x + x/2 + x/3 = 55
which leads to
3x + 1,5x + x = 165
5,5x = 165

Easy as pie!
Oct 14, 2008

I don't understand rule #4. "their own helping" seems to imply the portions are to be served separately, but the description makes it clear that all bowls are filled with the same amount of food, and each person is only rationed 1/2 bowl of spaghetti, and 1/3 bowl of salad. I think if you remove rule #4 what is being asked becomes clearer.
Oct 14, 2008

A fun teaser . All #4 means is that the case is simplified... everybody has every food prepared for them.
Oct 19, 2008

A pretty goon one, you have to think at first at the calculator is usually necassary, but it was fun!
Oct 24, 2008

i just kept goin up by numbers divisible by 2 and 3 and i got it right!
Nov 03, 2008

good one!!
Nov 14, 2008

Math is not my favorite thing, but this one was fun. Thanks for posting.
Nov 14, 2008

I got so hungry reading the quiz that I ate two shares of food. Does that mean the answer is only 29
Nov 14, 2008

wow my school is called Pine View and there's a Margeret Johnson
Nov 14, 2008

Once I got my brain calculater going, it was pretty easy. But still a great math riddle.
Nov 14, 2008

That was good! When I saw that the hint for 6 people made 11 bowls, it was easy to just multiply 6 by 5 (since 11x5=55), and there's your answer. Nice teaser!
Nov 14, 2008

Piece o' cake. but very fun!
Nov 14, 2008

Cool, finally a teaser for us math fans.
Nov 14, 2008

Honestly didn't get the answer from the clues. Checked the hint and saw that 6 campers need 11 bowls. The cook prepared 55 bowls therefore 6X5= the solution.

Good teaser!
Nov 14, 2008

tat was easy ! decided to ignore #4 since i didnt understand tat one .. love camping but we usually have gourmet cuisine and no sharing bowls ;-)
Nov 14, 2008

Nov 14, 2008

Sorry I got food craving too, so archer and I may have messed up the answer
Nov 17, 2008

I love math problems.
I guessed the answer, checked it, and got it right the first time!!!
Dec 28, 2008

At first I did not understand and keep getting the wrong answers. If I didn't read the hint, I would not have figured out that I would first use proportion. It was fun though
Dec 31, 2008

OK teaser, but just a very basic algebra question. Not sure why this is one of the most popular teasers.
Mar 13, 2009

trial & error
Mar 13, 2009

C = # of campers = unknown
B = # of bowls = 55

B = C + 1/2C + 1/3C
55 = C + 1/2C + 1/3C
6(55) = 6C + 3C + 2C
330 = 11C
30 = C

Great puzzle!
Feb 01, 2010

A good challenge, written in a fun context. Thanks - that's why it's one of the more popular ones!
(user deleted)
Jun 11, 2011

So many comment written about braingle company in the world.


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Nov 14, 2011

I like camping and I like food. Beyond that, I was lost. Have a simply wonderful day friends!
Nov 14, 2011

Quite simple to figure out, but quite enjoyable.
Nov 14, 2011

Still easy.
Jul 14, 2012

Pretty easy to get, I literally got it in 3 minutes....
Nov 14, 2014

simple, but fune
Nov 14, 2014

My eyes glazed over and my head began to spin.......and that was before I had finished reading the entire teaser.
Nov 14, 2014

....but, I noticed that Pineview was misspelled.
Nov 14, 2014

I had forgotten about this one. It is a great teaser, fairly easy, but well done.

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