Question

THIS IS SOOOO HARD!! HLP PLZ!!!!!!!!!!!!!!!! i cant do it!!! aaaaggghhh!
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?

Answer 1

i need help:(

Answer 2

let #people =x and #horses =y
you need one expression for the total number of heads, and another for the total number of legs
what is the equation for the total number of heads in terms of x and y ?

Answer 3

uhhhh...if x=the heads, then there would be 74, and if y was the legs there would be 196...

Answer 4

x doesn't equal heads, it equals number of people

Answer 5

we are counting heads of both horses and humans

Answer 6

oh.. then.. well there is no people yet..

Answer 7

if x is the number of humans, and y the number of horses, and the number of heads total is 74, how can we write that mathematically?

Answer 8

wouldnt u have 2 solve 4 x?

Answer 9

eventually, but first you need to do what I'm saying:
get one equation for the number of heads, and another for the number of legs

Answer 10

i dont know how!:(

Answer 11

there are x humans
there are y horses
okay?

Answer 12

oh.. ok that was a lot easier than wat i was thinking

Answer 13

sorry:)

Answer 14

never mind, this was extra credit anyways so i don't really HAVE to do it..:/

Answer 15

we have not solved the problem at all

Answer 16

/popcorn

Answer 17

i no but its very frusturating..

Answer 18

I'll let someone else have a crack at explaining it.

Answer 19

i dont HAVE 2 do it..

Answer 20

:)

Answer 21

thanks 4 trying though;)

Answer 22

\[\ \ \ n_1 - \text{the number of humans}\\\ \ \ n_2-\text{the number of horses}\\\text{Now, we know that both humans and horses only have one head, and we're given}\\\text{that there are 74 heads.}\\\ \ \ n_1+n_2=74\\\text{We know that humans have 2 legs,while horses have 4. There's a total of 196 legs.}\\\ \ \ 2n_1+4n_2=196\\\ \ \ n_1+2n_2=98\\\text{Now, we have to eliminate a variable first to solve.}\\\ \ \ n_1=98-2n_2\\\text{Now we can substitute in our first equation.}\\\ \ \ 98-2n_2+n_2=74\\\ \ -n_2=-24\\\ \ \ n_2=24\\\text{Since we have solved for the number of horses, we can determine the number of humans.}\\\ \ \ n_1+24=74\\\ \ \ n_1=50\]

Answer 23

wow...

Answer 24

so is the answer 50?