This one isn’t hard at all; the trick is to see how fast you can ‘grasp’ the problem and answer it without putting your pen down to paper!

In a certain town, four per cent of the inhabitants are one-legged and half of the others go barefoot. How many shoes are necessary?

jmart| Profile October 12th, 2009 - 11:21 pm.52 times the number of people in the town

kasabubu| Profile October 13th, 2009 - 12:44 am1 per inhabitant

aaronlau| Profile October 13th, 2009 - 1:27 amSame number as the number of inhabitants.

one-legged is 1.

half will times 2 back due to 2 feet.

So, back to square one.

hex| PUZZLE MASTER | Profile October 13th, 2009 - 4:12 am100%

Roel| Profile October 13th, 2009 - 7:42 amImage there are 100 people.

* Then 4 are with one leg and they need 1 shoe each. -> 4 shoes

* Of the other 96, 48 go barefoot and don’t need shoes. The other 48 need 2 shoes. -> 48*2 = 96 shoes

So 100 shoes necessary for 100 people. So 1 shoe per person.

smarty| Profile October 13th, 2009 - 9:56 amThe number of shoes needed is the same as the number of people living in the town.

Shawn| PUZZLE GRANDMASTER | Profile October 13th, 2009 - 10:07 amDo the one-legged inhabitants wear shoes? Assume yes.

By “How many shoes are necessary,” do you mean necessary for each person in town to be wearing their usual footwear simultaneously? Assume yes.

#shoes = #inhabitants

Any even-numbered percentage would work for this problem.

michaelc| Profile October 13th, 2009 - 5:20 pmOne leg needs half a pair, and half the others were 2 and half were none, so that means just about half!

Or at least that’s what the average folks would say that were around the 50th percentile.

NitzOO| Profile October 13th, 2009 - 6:25 pmThe number of shoes is equal to the number of inhabitants.

Falwan| Profile October 13th, 2009 - 10:07 pmIt depends on how many inhabitants there are in the town…

Falwan| Profile October 13th, 2009 - 10:11 pmTo tell you the truth, I googled the puzzle.

Mashplum| PUZZLE MASTER | Profile October 13th, 2009 - 10:21 pmAs many as there are people.

Oneiric| Profile October 13th, 2009 - 11:02 pmWell without any pen or paper I’d say if we don’t have the population of the village we can’t guess how much shoes would be necessary given the case they all walk at the same time (4% of the village 1 legged, 48% 2 legged and using shoes and the other 48% walking barefoot).

However, even given the case we know how much villagers are in there, we must stay alert to a detail: Which leg do the 1 legged citizens have left? Should we only count the number of shoes necessary without any regards to the side they should fit in (As opposed to the fact that you have to buy the pair to get one)? Should we consider you have to buy a pair to get one?

What about another fact: Will these people ever walk all together and need their shoes or can we consider they will share some shoes (given they can wear the same size)?

I think I’m overthinking it but it’s fun to see how it can get complicated if we overdo it.

No, I don’t have any clear answer, except (4% of the population * 1 + 48% * 2) shoes.

Obiwan| Profile October 14th, 2009 - 12:26 amOne shoe for each person in the town.

seelesscacti| Profile October 14th, 2009 - 5:48 pmAs many shoes as people… I did think about percentages for about a minute before realizing everything evened out.

marpocky| Profile October 15th, 2009 - 5:05 pmThe average number of shoes per person is 1, so you need half as many shoes as people.

Kllr Wolf| Profile October 15th, 2009 - 7:54 pmThe number of the shoes needed is equal to the number of the inhabitants.

sweetangelanna| Profile November 3rd, 2009 - 6:16 amthe number of shoes required is equivalent to the number of inhabitants.

thesmarticlekid| Profile November 11th, 2009 - 8:56 pmthis one is soooo simple, think shoes ARENT a nessecity, you are able to walk around barefoot you know. The only thing the one legged people need is a crutch or a wheelchair!!!

Aarongamer| Profile November 16th, 2009 - 1:40 pmFirst we let the number of inhabitants = 500

then we times .4 times that. 4% of 500 is 200.

split that bad boy in half.

We know 1 foot each = 1 shoe each.

and the others are barefoot.

100 were 1 shoes

100 were no shoes.

only 50 shoes would be necessary.

cobres zeragian| Profile August 11th, 2010 - 7:34 am0.04? im not sure

Tsopi| Profile October 18th, 2010 - 3:05 pm4% leaves us another 96% and the half of them don’t wear shoes?So the 96/2 = 48% of people there wear 2 shoes.So we can consider (Becouse one leged people wear 1 shoe ) that this 4% is an actual of 2% how wear foot and 2% who don’t wear..so we have 50% people wearing shoes and the other half not wearing shoes.So..as we don’t get any numbers we can just make this simple algorythm: Set A as ShoeNumber and Set B as PeopleNumber

A = (B/2)*2 witch actually give us A = B.

Answer to : How many shoes are necessary?

– The same number as the inhabitats