There are some parrots and guinea pigs in a pet sanctuary. There are 3 more parrots than guinea pigs in the pet sanctuary but there are a total of 36 less parrots' legs than guinea pigs' legs in the pet sanctuary. Find the number of parrots and guinea pigs in the pet sanctuary.
| |
Parrots |
Guinea Pigs |
Total |
| Number |
1 u + 3 |
1 u |
2 u + 3 |
| Value |
2 |
4 |
|
| Total Value |
2 u + 6 |
4 u |
|
Number of parrots' legs
= 2 x (1 u + 3)
= 2 u + 6
Number of guinea pigs' legs
= 4 x 1 u
= 4 u
There are 36 more guinea pigs legs than parrots' legs.
4 u = 2 u + 6 + 36
4 u - 2 u = 42
2 u = 42
1 u = 42 ÷ 2 = 21
Number of parrots and guinea pigs in the pet sanctuary
= 2 u + 3
= 2 x 21 + 3
= 42 + 3
= 45
Answer(s): 45
