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 are there?

Question

anonymous · Answer

What are your unknowns in this problem?

Can you write any mathematical relationships based on your unknowns and what you know?

anonymous · Answer

wait i think i got it

anonymous · Answer

Okay.  What did you get?  I'll see if I got the same!

anonymous · Answer

If HM represents HUMAN and HR represents HORSE then...

anonymous · Answer

HM + HR = 74 
2HM + 4HR = 196 
(2HM + 4HR) - (2 HM + 2HR) = 196 - 148 
2HR = 48 
HR = 24 
HM + (24) = 74 
HM = 74 - 24 
HM = 50
24 horses and 50 humans

anonymous · Answer

Looks good to me!  Nice work.

anonymous · Answer

That's a textbook algebra solution. :)

anonymous · Answer

Thanks