Math geeks: Jenga game problem

Discussion in 'Community Discussion' started by moonman239, Apr 25, 2013.

1. moonman239 macrumors 68000

Joined:
Mar 27, 2009
#1
Suppose I have 52 Jenga blocks. I stack one block on top of two blocks, then stack two blocks on top of that one block, then stack one block on top of those blocks, then I stack two more blocks on top of those. I keep doing this until I don't have enough blocks to create another story. How many stories tall is my structure?

Hint: Set up a series.

2. mobilehaathi macrumors G3

Joined:
Aug 19, 2008
Location:
The Anthropocene
#2
34

Why set up a series?

You start with two block at the base. Each pair of "floors" consists of three blocks.

52 / 3 = 17 pairs of floors with 1 block left over

17*2 = 34 floors

The 34th floor is a single block, so you can't place the 52nd block on the tower.

Why do you think this is challenging?

3. johnson102 macrumors newbie

Joined:
Nov 12, 2012
#3
I'm confused as well. I got 34 straight away then wondered if there was a trick I wasn't seeing, but after rereading the question I can't see any other route on the question to take.