There are some horses, geese and goats in a farm.There are 2 times as many geese as goats. Raeann finds out that among the animals, there are a total of 34 heads and 96 legs. How many horses 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 |
34
|
34 x 4 =
136 |
0
|
0
|
136
|
33
|
33 x 4 =
132 |
1
|
1 x 2 =
2 |
134
|
14
|
14 x 4 =
56 |
20
|
20 x 2 =
40 |
40 |
Total number of legs if all are 4-legged animals
= 4 x 34
= 136
Big difference between all the 2-legged animals and all the 4-legged animals
= 136 - 96
= 40
Small difference between one 2-legged animal and one 4-legged animal
= 4 - 2
= 2
Number of geese
= 40 ÷ 2
= 20
Number of 4-legged animals
= 34 - 20
= 14
Number of goats = 1 u
Number of geese = 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
Number of goats
= 1 u
= 10
Number of horses
= 14 - 10
= 4
Answer(s): 4
