There are some pigeons and guinea pigs in a pet sanctuary. There are 5 more pigeons than guinea pigs in the pet sanctuary but there are a total of 32 more guinea pigs' legs than pigeons' legs in the pet sanctuary. Find the number of pigeons and guinea pigs in the pet sanctuary.
| |
Pigeons |
Guinea Pigs |
Total |
| Number |
1 u + 5 |
1 u |
2 u + 5 |
| Value |
2 |
4 |
|
| Total Value |
2 u + 10 |
4 u |
|
Number of pigeons' legs
= 2 x (1 u + 5)
= 2 u + 10
Number of guinea pigs' legs
= 4 x 1 u
= 4 u
There are 32 more guinea pigs legs than pigeons' legs.
4 u = 2 u + 10 + 32
4 u - 2 u = 42
2 u = 42
1 u = 42 ÷ 2 = 21
Number of pigeons and guinea pigs in the pet sanctuary
= 2 u + 5
= 2 x 21 + 5
= 42 + 5
= 47
Answer(s): 47
