There are some lovebirds and guinea pigs in a pet sanctuary. There are 10 more lovebirds than guinea pigs in the pet sanctuary but there are a total of 30 less lovebirds' legs than guinea pigs' legs in the pet sanctuary. Find the number of lovebirds and guinea pigs in the pet sanctuary.
| |
Lovebirds |
Guinea Pigs |
Total |
| Number |
1 u + 10 |
1 u |
2 u + 10 |
| Value |
2 |
4 |
|
| Total Value |
2 u + 20 |
4 u |
|
Number of lovebirds' legs
= 2 x (1 u + 10)
= 2 u + 20
Number of guinea pigs' legs
= 4 x 1 u
= 4 u
There are 30 more guinea pigs legs than lovebirds' legs.
4 u = 2 u + 20 + 30
4 u - 2 u = 50
2 u = 50
1 u = 50 ÷ 2 = 25
Number of lovebirds and guinea pigs in the pet sanctuary
= 2 u + 10
= 2 x 25 + 10
= 50 + 10
= 60
Answer(s): 60
