There are some lovebirds and cats in a pet sanctuary. There are 3 less cats than lovebirds in the pet sanctuary but there are a total of 34 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 + 3 |
1 u |
2 u + 3 |
Value |
2 |
4 |
|
Total Value |
2 u + 6 |
4 u |
|
Number of lovebirds' legs
= 2 x (1 u + 3)
= 2 u + 6
Number of cats' legs
= 4 x 1 u
= 4 u
There are 34 more cats legs than lovebirds' legs.
4 u = 2 u + 6 + 34
4 u - 2 u = 40
2 u = 40
1 u = 40 ÷ 2 = 20
Number of lovebirds and cats in the pet sanctuary
= 2 u + 3
= 2 x 20 + 3
= 40 + 3
= 43
Answer(s): 43