There are some peacocks and guinea pigs in a pet sanctuary. There are 9 more peacocks than guinea pigs in the pet sanctuary but there are a total of 32 more guinea pigs' legs than peacocks' legs in the pet sanctuary. Find the number of peacocks and guinea pigs in the pet sanctuary.
| |
Peacocks |
Guinea Pigs |
Total |
| Number |
1 u + 9 |
1 u |
2 u + 9 |
| Value |
2 |
4 |
|
| Total Value |
2 u + 18 |
4 u |
|
Number of peacocks' legs
= 2 x (1 u + 9)
= 2 u + 18
Number of guinea pigs' legs
= 4 x 1 u
= 4 u
There are 32 more guinea pigs legs than peacocks' legs.
4 u = 2 u + 18 + 32
4 u - 2 u = 50
2 u = 50
1 u = 50 ÷ 2 = 25
Number of peacocks and guinea pigs in the pet sanctuary
= 2 u + 9
= 2 x 25 + 9
= 50 + 9
= 59
Answer(s): 59
