there are 10 rabbits and ducks in a farm with 32 feet . how many rabbtits and how many ducks are there?

Question

 there are 10 rabbits and ducks in a farm with 32 feet . how many rabbtits and how many ducks are there?

Answer 1

r + d = 10

4r + 2d = 32

 

d = 10 - r                   substitute into other equation

4r + 2(10 - r) = 32     distribute

4r + 20 - 2r = 32       combine like terms

2r + 20 = 32              subtract 20 from both sides

2r = 12

r = 6

 

There are 6 rabbits and 4 ducks.

 

Check

 

6(4) + 4(2)

24 + 8

32