There are some chickens and guinea pigs in a pet sanctuary. There are 12 more chickens than guinea pigs in the pet sanctuary but there are a total of 22 less chickens' legs than guinea pigs' legs in the pet sanctuary. Find the number of chickens and guinea pigs in the pet sanctuary.
| |
Chickens |
Guinea Pigs |
Total |
| Number |
1 u + 12 |
1 u |
2 u + 12 |
| Value |
2 |
4 |
|
| Total Value |
2 u + 24 |
4 u |
|
Number of chickens' legs
= 2 x (1 u + 12)
= 2 u + 24
Number of guinea pigs' legs
= 4 x 1 u
= 4 u
There are 22 more guinea pigs legs than chickens' legs.
4 u = 2 u + 24 + 22
4 u - 2 u = 46
2 u = 46
1 u = 46 ÷ 2 = 23
Number of chickens and guinea pigs in the pet sanctuary
= 2 u + 12
= 2 x 23 + 12
= 46 + 12
= 58
Answer(s): 58
