There are some parrots and guinea pigs in a pet sanctuary. There are 8 more parrots than guinea pigs in the pet sanctuary but there are a total of 10 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 + 8 |
1 u |
2 u + 8 |
Value |
2 |
4 |
|
Total Value |
2 u + 16 |
4 u |
|
Number of parrots' legs
= 2 x (1 u + 8)
= 2 u + 16
Number of guinea pigs' legs
= 4 x 1 u
= 4 u
There are 10 more guinea pigs legs than parrots' legs.
4 u = 2 u + 16 + 10
4 u - 2 u = 26
2 u = 26
1 u = 26 ÷ 2 = 13
Number of parrots and guinea pigs in the pet sanctuary
= 2 u + 8
= 2 x 13 + 8
= 26 + 8
= 34
Answer(s): 34