There are some chickens and guinea pigs in a pet sanctuary. There are 4 more chickens than guinea pigs in the pet sanctuary but there are a total of 14 more guinea pigs' legs than chickens' legs in the pet sanctuary. Find the number of chickens and guinea pigs in the pet sanctuary.
| |
Chickens |
Guinea Pigs |
Total |
| Number |
1 u + 4 |
1 u |
2 u + 4 |
| Value |
2 |
4 |
|
| Total Value |
2 u + 8 |
4 u |
|
Number of chickens' legs
= 2 x (1 u + 4)
= 2 u + 8
Number of guinea pigs' legs
= 4 x 1 u
= 4 u
There are 14 more guinea pigs legs than chickens' legs.
4 u = 2 u + 8 + 14
4 u - 2 u = 22
2 u = 22
1 u = 22 ÷ 2 = 11
Number of chickens and guinea pigs in the pet sanctuary
= 2 u + 4
= 2 x 11 + 4
= 22 + 4
= 26
Answer(s): 26
