There are some lovebirds and hamsters in a pet sanctuary. There are 12 more lovebirds than hamsters in the pet sanctuary but there are a total of 20 more hamsters' legs than lovebirds' legs in the pet sanctuary. Find the number of lovebirds and hamsters in the pet sanctuary.
| |
Lovebirds |
Hamsters |
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 hamsters' legs
= 4 x 1 u
= 4 u
There are 20 more hamsters legs than lovebirds' legs.
4 u = 2 u + 24 + 20
4 u - 2 u = 44
2 u = 44
1 u = 44 ÷ 2 = 22
Number of lovebirds and hamsters in the pet sanctuary
= 2 u + 12
= 2 x 22 + 12
= 44 + 12
= 56
Answer(s): 56
