One day, a person went to horse racing area, Instead of counting the number of human and horses, he instead counted 74 heads and 196 legs. Yet he knew the number of humans and horses there. How did he do it, and how many humans and horses
Seeing as both horses and humans all have 1 head, x+y=74.
Let's say X is horse, and humans are Y.
4x+2Y=196
Therefore, the set for this is:
4x+2y=196
x+y=74
To solve this, you'd solve one of the equations by putting it in the other.
4x+2y=196
x=74-y (this is changed because the equations have to have the same X and Y coordinates.
4(74-y)+2y=196
296-4y+2y=196
296-2y=196
-2y=-100
y=50
Since y = 50, this means there were 50 humans.
Put it back into the original equation and..
x+50=74
x = 24
24 horses, 50 humans.