There are some lovebirds and rabbits in a pet sanctuary. There are 7 more lovebirds than rabbits in the pet sanctuary but there are a total of 36 less lovebirds' legs than rabbits' legs in the pet sanctuary. Find the number of lovebirds and rabbits in the pet sanctuary.
| |
Lovebirds |
Rabbits |
Total |
| Number |
1 u + 7 |
1 u |
2 u + 7 |
| Value |
2 |
4 |
|
| Total Value |
2 u + 14 |
4 u |
|
Number of lovebirds' legs
= 2 x (1 u + 7)
= 2 u + 14
Number of rabbits' legs
= 4 x 1 u
= 4 u
There are 36 more rabbits legs than lovebirds' legs.
4 u = 2 u + 14 + 36
4 u - 2 u = 50
2 u = 50
1 u = 50 ÷ 2 = 25
Number of lovebirds and rabbits in the pet sanctuary
= 2 u + 7
= 2 x 25 + 7
= 50 + 7
= 57
Answer(s): 57
