All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
Boxed in boxes (Posted on 2009-01-26) Difficulty: 1 of 5
Anne has boxes in three sizes: large, medium, and small.

She puts 11 large boxes on a table. She leaves some of these boxes empty, and in each of the other boxes she puts 8 medium boxes. She leaves some of these medium boxes empty, and in each of the other medium boxes she puts 8 (empty) small boxes. Now, 102 of all the boxes on the table are empty.

How many boxes has Anne used in total?

See The Solution Submitted by K Sengupta    
Rating: 4.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Analytic Solution | Comment 2 of 3 |

You start with 11 empty boxes.  Boxes are added in groups of 8, all empty to begin with, but filling a previously empty box, for a net gain of 7 in the count of empty boxes.

As there are 102-11=91 more empty boxes now than at the beginning, the process of adding 8 boxes was done 91/7 = 13 times. So there are 11 + 8*13 = 115 boxes now present.


  Posted by Charlie on 2009-01-26 14:40:35
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information