There are some parrots and guinea pigs in a pet sanctuary. There are 3 less guinea pigs than parrots in the pet sanctuary but there are a total of 26 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 + 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 26 more guinea pigs legs than parrots' legs.
4 u = 2 u + 6 + 26
4 u - 2 u = 32
2 u = 32
1 u = 32 ÷ 2 = 16
Number of parrots and guinea pigs in the pet sanctuary
= 2 u + 3
= 2 x 16 + 3
= 32 + 3
= 35
Answer(s): 35