There are some sheep, geese and cows in a farm.There are 2 times as many geese as cows. Rachel finds out that among the animals, there are a total of 27 heads and 96 legs. How many sheep are there?
Number of
4-legged animals |
Total legs of
4-legged animals |
Number of
2-legged animals |
Total legs of
2-legged animals |
Total legs |
27
|
27 x 4 =
108 |
0
|
0
|
108
|
26
|
26 x 4 =
104 |
1
|
1 x 2 =
2 |
106
|
21
|
21 x 4 =
84 |
6
|
6 x 2 =
12 |
12 |
Total number of legs if all are 4-legged animals
= 4 x 27
= 108
Big difference between all the 2-legged animals and all the 4-legged animals
= 108 - 96
= 12
Small difference between one 2-legged animal and one 4-legged animal
= 4 - 2
= 2
Number of geese
= 12 ÷ 2
= 6
Number of 4-legged animals
= 27 - 6
= 21
Number of cows = 1 u
Number of geese = 2 u
2 u = 6
1 u = 6 ÷ 2 = 3
Number of cows
= 1 u
= 3
Number of sheep
= 21 - 3
= 18
Answer(s): 18
