There are some sheep, hens and donkeys in a farm.There are 3 times as many hens as donkeys. Wendy finds out that among the animals, there are a total of 33 heads and 84 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 |
33
|
33 x 4 =
132 |
0
|
0
|
132
|
32
|
32 x 4 =
128 |
1
|
1 x 2 =
2 |
130
|
9
|
9 x 4 =
36 |
24
|
24 x 2 =
48 |
48 |
Total number of legs if all are 4-legged animals
= 4 x 33
= 132
Big difference between all the 2-legged animals and all the 4-legged animals
= 132 - 84
= 48
Small difference between one 2-legged animal and one 4-legged animal
= 4 - 2
= 2
Number of hens
= 48 ÷ 2
= 24
Number of 4-legged animals
= 33 - 24
= 9
Number of donkeys = 1 u
Number of hens = 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
Number of donkeys
= 1 u
= 8
Number of sheep
= 9 - 8
= 1
Answer(s): 1
