jake keeps geese and rabbits His animals have 40 heads and 88 feet between them how many rabbits does he have how many geese does he have

Question

please help I'm so stuck with this

 

 

 

 

 

 

 

 

Answer 1

Call the geese "g" and the rabbits "r".

 

Since each animal only has one head, we know that:

 

g+r = 40

 

We also know that some combination of 4-footed rabbits and 2-footed geese gives us 88 feet in total, so:

 

4r + 2g = 88.

 

Eliminate one variable:

 

If g + r = 40, we can also say that r = 40 - g.

 

Substitute 40 - g where you see r in the equation, so:

 

4r + 2g becomes 4(40 - g) + 2g = 88

 

Distribute to get 160 - 4g + 2g =88, or 160 - 2g = 88.

 

Subtract 88 from both sites, which gives you

 

72 - 2g = 0, which tells you that

 

2g = 72, so g = 36. There are 36 geese, whose feet total 72, and 4 rabbits, whose feet total 16.

 

72 + 16 = 88 feet, and 36 geese plus 4 rabbits = 44 heads.

 

There ya go!