There are some pigs, hens and buffaloes in a farm.There are 5 times as many hens as buffaloes. Sarah finds out that among the animals, there are a total of 29 heads and 86 legs. How many pigs 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 |
29
|
29 x 4 =
116 |
0
|
0
|
116
|
28
|
28 x 4 =
112 |
1
|
1 x 2 =
2 |
114
|
14
|
14 x 4 =
56 |
15
|
15 x 2 =
30 |
30 |
Total number of legs if all are 4-legged animals
= 4 x 29
= 116
Big difference between all the 2-legged animals and all the 4-legged animals
= 116 - 86
= 30
Small difference between one 2-legged animal and one 4-legged animal
= 4 - 2
= 2
Number of hens
= 30 ÷ 2
= 15
Number of 4-legged animals
= 29 - 15
= 14
Number of buffaloes = 1 u
Number of hens = 5 u
5 u = 15
1 u = 15 ÷ 5 = 3
Number of buffaloes
= 1 u
= 3
Number of pigs
= 14 - 3
= 11
Answer(s): 11
