There are some geese and guinea pigs in a pet sanctuary. There are 4 more geese than guinea pigs in the pet sanctuary but there are a total of 32 less geese' legs than guinea pigs' legs in the pet sanctuary. Find the number of geese and guinea pigs in the pet sanctuary.
| |
Geese |
Guinea Pigs |
Total |
| Number |
1 u + 4 |
1 u |
2 u + 4 |
| Value |
2 |
4 |
|
| Total Value |
2 u + 8 |
4 u |
|
Number of geese' legs
= 2 x (1 u + 4)
= 2 u + 8
Number of guinea pigs' legs
= 4 x 1 u
= 4 u
There are 32 more guinea pigs legs than geese' legs.
4 u = 2 u + 8 + 32
4 u - 2 u = 40
2 u = 40
1 u = 40 ÷ 2 = 20
Number of geese and guinea pigs in the pet sanctuary
= 2 u + 4
= 2 x 20 + 4
= 40 + 4
= 44
Answer(s): 44
