There are some pigeons and guinea pigs in a pet sanctuary. There are 7 more pigeons than guinea pigs in the pet sanctuary but there are a total of 26 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 + 7 |
1 u |
2 u + 7 |
| Value |
2 |
4 |
|
| Total Value |
2 u + 14 |
4 u |
|
Number of pigeons' legs
= 2 x (1 u + 7)
= 2 u + 14
Number of guinea pigs' legs
= 4 x 1 u
= 4 u
There are 26 more guinea pigs legs than pigeons' legs.
4 u = 2 u + 14 + 26
4 u - 2 u = 40
2 u = 40
1 u = 40 ÷ 2 = 20
Number of pigeons and guinea pigs in the pet sanctuary
= 2 u + 7
= 2 x 20 + 7
= 40 + 7
= 47
Answer(s): 47
