There are some donkeys, hens and sheep in a farm.There are 3 times as many hens as sheep. Diana finds out that among the animals, there are a total of 22 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 |
22
|
22 x 4 =
88 |
0
|
0
|
88
|
21
|
21 x 4 =
84 |
1
|
1 x 2 =
2 |
86
|
16
|
16 x 4 =
64 |
6
|
6 x 2 =
12 |
12 |
Total number of legs if all are 4-legged animals
= 4 x 22
= 88
Big difference between all the 2-legged animals and all the 4-legged animals
= 88 - 76
= 12
Small difference between one 2-legged animal and one 4-legged animal
= 4 - 2
= 2
Number of hens
= 12 ÷ 2
= 6
Number of 4-legged animals
= 22 - 6
= 16
Number of sheep = 1 u
Number of hens = 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Number of sheep
= 1 u
= 2
Number of donkeys
= 16 - 2
= 14
Answer(s): 14
