help needed

[hendo]

Here is the problem I need to solve: I also need the formula

Miranda visited a petting zoo. She counted 95 ducks and goats. She also counted 316 legs between the ducks and goats. How many of each kind of animal did Miranda see?

Can anyone help?

 

[jacket81]

problem

With d for ducks and g for goats, you know that d+g=95, and 2d+4g=316.

Can you solve it from there?

 

[hendo]

I had gotten that far before. Can you help solve it?

 

[Guest]

75 goats,9 ducks
300 goat legs, 16 duck legs

(i am bad at equations so i'll let you work that, i hope this works for you)
~Anon

 

[hendo]

That doesn't work out. There are 95 goats and ducks (yours only totals 84). Also, ducks have 2 legs (9x2=18). So this doesn't add up to 316.

I'm so confused with this. I have tried every equation.

Someone help!

 

[Guest]

as before.....
d+g=95, and 2d+4g=316

then
d= 95-g

sub this into the other equation,

2(95-g) +4g =316

190 -2g +4g = 316

2g = 126

g= 63

sub this into the original equation....

d= 95 - 63

d= 32

 

[hendo]

Thank you very much! Can you believe that this was 5th grade math homework? Perhaps I'm too old....thanks again. This was going to drive me crazy!!!

 

[stapel]

Multi-post.

And yes, I can believe this is fifth-grade math (though I'm surprised that you're doing it with systems of equations -- you said, when presented with such, that you'd already "got that far"). My nine-year-old does these all the time. I presented his solution method in the other thread you started on this exercise.

Eliz.