There are some lovebirds and cats in a pet sanctuary. There are 9 less cats than lovebirds in the pet sanctuary but there are a total of 38 more cats' legs than lovebirds' legs in the pet sanctuary. Find the number of lovebirds and cats in the pet sanctuary.
| |
Lovebirds |
Cats |
Total |
| Number |
1 u + 9 |
1 u |
2 u + 9 |
| Value |
2 |
4 |
|
| Total Value |
2 u + 18 |
4 u |
|
Number of lovebirds' legs
= 2 x (1 u + 9)
= 2 u + 18
Number of cats' legs
= 4 x 1 u
= 4 u
There are 38 more cats legs than lovebirds' legs.
4 u = 2 u + 18 + 38
4 u - 2 u = 56
2 u = 56
1 u = 56 ÷ 2 = 28
Number of lovebirds and cats in the pet sanctuary
= 2 u + 9
= 2 x 28 + 9
= 56 + 9
= 65
Answer(s): 65
