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Carousel

Math brain teasers require computations to solve.

 

Puzzle ID:#22919
Fun:*** (2.23)
Difficulty:** (2)
Category:Math
Submitted By:phrebh*us****
Corrected By:phrebh

 

 

 



Fred was in Washington, D.C., on a school trip to visit the Smithsonian. After lunch the teachers took the students to the Carousel on the Mall (this happened before they closed it down).

While Fred was enjoying his ride, he noticed that one-third of the number of his classmates riding ahead of him, plus three-fourths of them riding behind him, equaled the total number of students on the carousel.

How many students were riding the carousel?

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Answer

13.

The number of students ahead of him equals the number behind him. So,

1/3x + 3/4x = x + 1

When finding the common denominator for the left-hand side of the equation, we get 12, and the sum of the numerators then equals 13.

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Comments

darthforman*
May 15, 2005




zonahoboAus*
May 16, 2005

I got to 13 figuring all could be considered ahead and behind but I expected you would have one student next to Fred or something as a trick .. so, glad it was straight math
Cheerleader_09**
May 26, 2005

I thought it was pretty fun.
Yoyobug02**
Jun 08, 2005

ummmmm thats wrong if u do 1/3 + 3/4 u have to change it to 4/12 + 9/12 and that equals 13/12 and that equals 1 and 1 /12
Beaker**
Jun 17, 2005

x=12 using that equation
paul726Aus*
Dec 08, 2005

how do you assume the number ahead= the number behind? Except possibly that on a carousel, all people are ahead and all people are behind you. Poor wording in the teaser.
phrebh*us*
Dec 08, 2005

You don't assume that the number ahead equals the number behind. You know it because a carousel is round.
shadowwerss*de*
Jul 03, 2006


I liked it pretty cool
pating**
Sep 11, 2007

At first glance, I thought it was impossible to solve.

Clever idea for a carousel!
javaguru*us*
Feb 09, 2009

Pretty cool. Gave me pause for a moment because I thought you weren't treating all in front as the same as all behind. Then I realized where the missing 1/12 was.



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