There are some pigeons and guinea pigs in a pet sanctuary. There are 2 more pigeons than guinea pigs in the pet sanctuary but there are a total of 22 less pigeons' legs than guinea pigs' legs in the pet sanctuary. Find the number of pigeons and guinea pigs in the pet sanctuary.
|
Pigeons |
Guinea Pigs |
Total |
Number |
1 u + 2 |
1 u |
2 u + 2 |
Value |
2 |
4 |
|
Total Value |
2 u + 4 |
4 u |
|
Number of pigeons' legs
= 2 x (1 u + 2)
= 2 u + 4
Number of guinea pigs' legs
= 4 x 1 u
= 4 u
There are 22 more guinea pigs legs than pigeons' legs.
4 u = 2 u + 4 + 22
4 u - 2 u = 26
2 u = 26
1 u = 26 ÷ 2 = 13
Number of pigeons and guinea pigs in the pet sanctuary
= 2 u + 2
= 2 x 13 + 2
= 26 + 2
= 28
Answer(s): 28