There are some donkeys, hens and buffaloes in a farm.There are 2 times as many hens as buffaloes. Irene finds out that among the animals, there are a total of 24 heads and 76 legs. How many donkeys 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
|
14
|
14 x 4 =
56 |
10
|
10 x 2 =
20 |
20 |
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 - 76
= 20
Small difference between one 2-legged animal and one 4-legged animal
= 4 - 2
= 2
Number of hens
= 20 ÷ 2
= 10
Number of 4-legged animals
= 24 - 10
= 14
Number of buffaloes = 1 u
Number of hens = 2 u
2 u = 10
1 u = 10 ÷ 2 = 5
Number of buffaloes
= 1 u
= 5
Number of donkeys
= 14 - 5
= 9
Answer(s): 9
