There are some goats, hens and donkeys in a farm.There are 2 times as many hens as donkeys. Betty finds out that among the animals, there are a total of 24 heads and 80 legs. How many goats 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
|
16
|
16 x 4 =
64 |
8
|
8 x 2 =
16 |
16 |
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 - 80
= 16
Small difference between one 2-legged animal and one 4-legged animal
= 4 - 2
= 2
Number of hens
= 16 ÷ 2
= 8
Number of 4-legged animals
= 24 - 8
= 16
Number of donkeys = 1 u
Number of hens = 2 u
2 u = 8
1 u = 8 ÷ 2 = 4
Number of donkeys
= 1 u
= 4
Number of goats
= 16 - 4
= 12
Answer(s): 12
