There are some pigs, ducks and buffaloes in a farm.There are 3 times as many ducks as buffaloes. Betty finds out that among the animals, there are a total of 33 heads and 90 legs. How many pigs 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
|
12
|
12 x 4 =
48 |
21
|
21 x 2 =
42 |
42 |
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 - 90
= 42
Small difference between one 2-legged animal and one 4-legged animal
= 4 - 2
= 2
Number of ducks
= 42 ÷ 2
= 21
Number of 4-legged animals
= 33 - 21
= 12
Number of buffaloes = 1 u
Number of ducks = 3 u
3 u = 21
1 u = 21 ÷ 3 = 7
Number of buffaloes
= 1 u
= 7
Number of pigs
= 12 - 7
= 5
Answer(s): 5
