There are some lovebirds and cats in a pet sanctuary. There are 8 more lovebirds than cats in the pet sanctuary but there are a total of 28 less lovebirds' legs than cats' legs in the pet sanctuary. Find the number of lovebirds and cats in the pet sanctuary.
| |
Lovebirds |
Cats |
Total |
| Number |
1 u + 8 |
1 u |
2 u + 8 |
| Value |
2 |
4 |
|
| Total Value |
2 u + 16 |
4 u |
|
Number of lovebirds' legs
= 2 x (1 u + 8)
= 2 u + 16
Number of cats' legs
= 4 x 1 u
= 4 u
There are 28 more cats legs than lovebirds' legs.
4 u = 2 u + 16 + 28
4 u - 2 u = 44
2 u = 44
1 u = 44 ÷ 2 = 22
Number of lovebirds and cats in the pet sanctuary
= 2 u + 8
= 2 x 22 + 8
= 44 + 8
= 52
Answer(s): 52
