There are some goats, hens and cows in a farm.There are 2 times as many hens as cows. Anna finds out that among the animals, there are a total of 28 heads and 84 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 |
28
|
28 x 4 =
112 |
0
|
0
|
112
|
27
|
27 x 4 =
108 |
1
|
1 x 2 =
2 |
110
|
14
|
14 x 4 =
56 |
14
|
14 x 2 =
28 |
28 |
Total number of legs if all are 4-legged animals
= 4 x 28
= 112
Big difference between all the 2-legged animals and all the 4-legged animals
= 112 - 84
= 28
Small difference between one 2-legged animal and one 4-legged animal
= 4 - 2
= 2
Number of hens
= 28 ÷ 2
= 14
Number of 4-legged animals
= 28 - 14
= 14
Number of cows = 1 u
Number of hens = 2 u
2 u = 14
1 u = 14 ÷ 2 = 7
Number of cows
= 1 u
= 7
Number of goats
= 14 - 7
= 7
Answer(s): 7
