There are some lovebirds and dogs in a pet sanctuary. There are 4 more lovebirds than dogs in the pet sanctuary but there are a total of 30 less lovebirds' legs than dogs' legs in the pet sanctuary. Find the number of lovebirds and dogs in the pet sanctuary.
| |
Lovebirds |
Dogs |
Total |
| Number |
1 u + 4 |
1 u |
2 u + 4 |
| Value |
2 |
4 |
|
| Total Value |
2 u + 8 |
4 u |
|
Number of lovebirds' legs
= 2 x (1 u + 4)
= 2 u + 8
Number of dogs' legs
= 4 x 1 u
= 4 u
There are 30 more dogs legs than lovebirds' legs.
4 u = 2 u + 8 + 30
4 u - 2 u = 38
2 u = 38
1 u = 38 ÷ 2 = 19
Number of lovebirds and dogs in the pet sanctuary
= 2 u + 4
= 2 x 19 + 4
= 38 + 4
= 42
Answer(s): 42
