Brain Teasers Optical Illusions Puzzle Hunts Codes & Ciphers Mechanical Puzzles
Personal Links
Browse Teasers
Search Teasers

Cafeteria Capacity

Math brain teasers require computations to solve.


Puzzle ID:#24164
Fun:*** (2.67)
Difficulty:*** (2.6)
Submitted By:flirtmaster123*us***




The Madison School has a new cafeteria with very artistic, new tables for its 375 students. Besides the big round tables, some tables are octagons, pentagons, hexagons or squares. The students eat lunch in 3 shifts, with an equal number of students dining during each lunch period. Because the cafeteria is new, they've allowed extra space in case there are more students in the future. Right now, there are 47 empty seats during each lunch period.

Each round table seats ten students. Each of the other types of tables can seat one student on each side.
There are at least 4 tables of each shape.
The same total number of students can be seated at the square tables as at the pentagons, but there are more square tables than pentagons.
The total number of students who can be seated at round tables is equal to the total number of students at the square and pentagon shaped tables combined.
There are more octagonal tables than any other shape.
There is a total of 4 fewer places at the hexagons than at the round tables.

How many tables are there of each shape?

Open Calculator

What Next?


See another brain teaser just like this one...

Or, just get a random brain teaser

If you become a registered user you can vote on this brain teaser, keep track of
which ones you have seen, and even make your own.


Back to Top

Online Now
7 users and 698 guests

Users In Chat
Follow Braingle!
Tap into all 20,000+ of our brain teasers, riddles and puzzles on your iPhone or iPad.
Braingle in the iTunes App Store
Copyright © 1999-2017 | FAQ | Widgets | Links | Green | Subscribe | Contact | Privacy | Conditions | Advertise | Braingle Time: 9:14 am
Sign In Create a free account