There are some sheep, geese and buffaloes in a farm.There are 4 times as many geese as buffaloes. Jade finds out that among the animals, there are a total of 37 heads and 100 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 |
37
|
37 x 4 =
148 |
0
|
0
|
148
|
36
|
36 x 4 =
144 |
1
|
1 x 2 =
2 |
146
|
13
|
13 x 4 =
52 |
24
|
24 x 2 =
48 |
48 |
Total number of legs if all are 4-legged animals
= 4 x 37
= 148
Big difference between all the 2-legged animals and all the 4-legged animals
= 148 - 100
= 48
Small difference between one 2-legged animal and one 4-legged animal
= 4 - 2
= 2
Number of geese
= 48 ÷ 2
= 24
Number of 4-legged animals
= 37 - 24
= 13
Number of buffaloes = 1 u
Number of geese = 4 u
4 u = 24
1 u = 24 ÷ 4 = 6
Number of buffaloes
= 1 u
= 6
Number of sheep
= 13 - 6
= 7
Answer(s): 7
