There are some sheep, chickens and horses in a farm.There are 2 times as many chickens as horses. Emma finds out that among the animals, there are a total of 28 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 |
28
|
28 x 4 =
112 |
0
|
0
|
112
|
27
|
27 x 4 =
108 |
1
|
1 x 2 =
2 |
110
|
20
|
20 x 4 =
80 |
8
|
8 x 2 =
16 |
16 |
Total number of legs if all are 4-legged animals
= 4 x 28
= 112
Big difference between all the 2-legged animals and all the 4-legged animals
= 112 - 96
= 16
Small difference between one 2-legged animal and one 4-legged animal
= 4 - 2
= 2
Number of chickens
= 16 ÷ 2
= 8
Number of 4-legged animals
= 28 - 8
= 20
Number of horses = 1 u
Number of chickens = 2 u
2 u = 8
1 u = 8 ÷ 2 = 4
Number of horses
= 1 u
= 4
Number of sheep
= 20 - 4
= 16
Answer(s): 16
