There are some parrots and guinea pigs in a pet sanctuary. There are 2 less guinea pigs than parrots in the pet sanctuary but there are a total of 34 more guinea pigs' legs than parrots' legs in the pet sanctuary. Find the number of parrots and guinea pigs in the pet sanctuary.
| |
Parrots |
Guinea Pigs |
Total |
| Number |
1 u + 2 |
1 u |
2 u + 2 |
| Value |
2 |
4 |
|
| Total Value |
2 u + 4 |
4 u |
|
Number of parrots' legs
= 2 x (1 u + 2)
= 2 u + 4
Number of guinea pigs' legs
= 4 x 1 u
= 4 u
There are 34 more guinea pigs legs than parrots' legs.
4 u = 2 u + 4 + 34
4 u - 2 u = 38
2 u = 38
1 u = 38 ÷ 2 = 19
Number of parrots and guinea pigs in the pet sanctuary
= 2 u + 2
= 2 x 19 + 2
= 38 + 2
= 40
Answer(s): 40
