There are some sheep, hens and buffaloes in a farm.There are 3 times as many hens as buffaloes. Hilda finds out that among the animals, there are a total of 38 heads and 98 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 |
38
|
38 x 4 =
152 |
0
|
0
|
152
|
37
|
37 x 4 =
148 |
1
|
1 x 2 =
2 |
150
|
11
|
11 x 4 =
44 |
27
|
27 x 2 =
54 |
54 |
Total number of legs if all are 4-legged animals
= 4 x 38
= 152
Big difference between all the 2-legged animals and all the 4-legged animals
= 152 - 98
= 54
Small difference between one 2-legged animal and one 4-legged animal
= 4 - 2
= 2
Number of hens
= 54 ÷ 2
= 27
Number of 4-legged animals
= 38 - 27
= 11
Number of buffaloes = 1 u
Number of hens = 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Number of buffaloes
= 1 u
= 9
Number of sheep
= 11 - 9
= 2
Answer(s): 2
