There are some buffaloes, chickens and goats in a farm.There are 3 times as many chickens as goats. Lynn finds out that among the animals, there are a total of 24 heads and 72 legs. How many buffaloes 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 |
24
|
24 x 4 =
96 |
0
|
0
|
96
|
23
|
23 x 4 =
92 |
1
|
1 x 2 =
2 |
94
|
12
|
12 x 4 =
48 |
12
|
12 x 2 =
24 |
24 |
Total number of legs if all are 4-legged animals
= 4 x 24
= 96
Big difference between all the 2-legged animals and all the 4-legged animals
= 96 - 72
= 24
Small difference between one 2-legged animal and one 4-legged animal
= 4 - 2
= 2
Number of chickens
= 24 ÷ 2
= 12
Number of 4-legged animals
= 24 - 12
= 12
Number of goats = 1 u
Number of chickens = 3 u
3 u = 12
1 u = 12 ÷ 3 = 4
Number of goats
= 1 u
= 4
Number of buffaloes
= 12 - 4
= 8
Answer(s): 8
