# Number of heads and legs

• Sep 13th 2011, 03:23 PM
Natasha1
Number of heads and legs
In a barn there are only horses and people. If there are 12 heads and 34 legs how many horses and how many people are there?
• Sep 13th 2011, 03:26 PM
skeeter
Re: Number of heads and legs
Quote:

Originally Posted by Natasha1
In a barn there are only horses and people. If there are 12 heads and 34 legs how many horses and how many people are there?

h + p = 12

4h + 2p = 34

figure out how the equations were formulated, then solve the system for h and p
• Sep 13th 2011, 05:32 PM
psolaki
Re: Number of heads and legs
Quote:

Originally Posted by Natasha1
In a barn there are only horses and people. If there are 12 heads and 34 legs how many horses and how many people are there?

Let x be the No of the heads of the horses.Then the No of the human heads are 12-x.

Then the no of the legs of the horses are :4x and the No of the human leg are:2(12-x).

Can you carry on from here??

There is another way of solving this problem out ,without using algebra and variables ,but by using simple arithmetic.

Suppose in the barn were only horses ,then the No of legs would be 12x4=48.But since the No of legs are 34,then the No of remaining legs 48-34= 14 are the human legs. Divide by 2 and you have the No of people in the barn
• Sep 13th 2011, 05:37 PM
TheChaz
Re: Number of heads and legs
Don't you dare burn the curry!