There are some pigeons and guinea pigs in a pet sanctuary. There are 6 less guinea pigs than pigeons in the pet sanctuary but there are a total of 24 more guinea pigs' legs than pigeons' legs in the pet sanctuary. Find the number of pigeons and guinea pigs in the pet sanctuary.
|
Pigeons |
Guinea Pigs |
Total |
Number |
1 u + 6 |
1 u |
2 u + 6 |
Value |
2 |
4 |
|
Total Value |
2 u + 12 |
4 u |
|
Number of pigeons' legs
= 2 x (1 u + 6)
= 2 u + 12
Number of guinea pigs' legs
= 4 x 1 u
= 4 u
There are 24 more guinea pigs legs than pigeons' legs.
4 u = 2 u + 12 + 24
4 u - 2 u = 36
2 u = 36
1 u = 36 ÷ 2 = 18
Number of pigeons and guinea pigs in the pet sanctuary
= 2 u + 6
= 2 x 18 + 6
= 36 + 6
= 42
Answer(s): 42