There are some horses, hens and buffaloes in a farm.There are 5 times as many hens as buffaloes. Joelle finds out that among the animals, there are a total of 32 heads and 88 legs. How many horses 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 |
32
|
32 x 4 =
128 |
0
|
0
|
128
|
31
|
31 x 4 =
124 |
1
|
1 x 2 =
2 |
126
|
12
|
12 x 4 =
48 |
20
|
20 x 2 =
40 |
40 |
Total number of legs if all are 4-legged animals
= 4 x 32
= 128
Big difference between all the 2-legged animals and all the 4-legged animals
= 128 - 88
= 40
Small difference between one 2-legged animal and one 4-legged animal
= 4 - 2
= 2
Number of hens
= 40 ÷ 2
= 20
Number of 4-legged animals
= 32 - 20
= 12
Number of buffaloes = 1 u
Number of hens = 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
Number of buffaloes
= 1 u
= 4
Number of horses
= 12 - 4
= 8
Answer(s): 8
