There are some peacocks and guinea pigs in a pet sanctuary. There are 12 more peacocks than guinea pigs in the pet sanctuary but there are a total of 18 less peacocks' legs than guinea pigs' legs in the pet sanctuary. Find the number of peacocks and guinea pigs in the pet sanctuary.
|
Peacocks |
Guinea Pigs |
Total |
Number |
1 u + 12 |
1 u |
2 u + 12 |
Value |
2 |
4 |
|
Total Value |
2 u + 24 |
4 u |
|
Number of peacocks' legs
= 2 x (1 u + 12)
= 2 u + 24
Number of guinea pigs' legs
= 4 x 1 u
= 4 u
There are 18 more guinea pigs legs than peacocks' legs.
4 u = 2 u + 24 + 18
4 u - 2 u = 42
2 u = 42
1 u = 42 ÷ 2 = 21
Number of peacocks and guinea pigs in the pet sanctuary
= 2 u + 12
= 2 x 21 + 12
= 42 + 12
= 54
Answer(s): 54