There are some lovebirds and cats in a pet sanctuary. There are 12 less cats than lovebirds in the pet sanctuary but there are a total of 14 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 + 12 |
1 u |
2 u + 12 |
Value |
2 |
4 |
|
Total Value |
2 u + 24 |
4 u |
|
Number of lovebirds' legs
= 2 x (1 u + 12)
= 2 u + 24
Number of cats' legs
= 4 x 1 u
= 4 u
There are 14 more cats legs than lovebirds' legs.
4 u = 2 u + 24 + 14
4 u - 2 u = 38
2 u = 38
1 u = 38 ÷ 2 = 19
Number of lovebirds and cats in the pet sanctuary
= 2 u + 12
= 2 x 19 + 12
= 38 + 12
= 50
Answer(s): 50