There are some geese and guinea pigs in a pet sanctuary. There are 3 more geese than guinea pigs in the pet sanctuary but there are a total of 28 more guinea pigs' legs than geese' legs in the pet sanctuary. Find the number of geese and guinea pigs in the pet sanctuary.
| |
Geese |
Guinea Pigs |
Total |
| Number |
1 u + 3 |
1 u |
2 u + 3 |
| Value |
2 |
4 |
|
| Total Value |
2 u + 6 |
4 u |
|
Number of geese' legs
= 2 x (1 u + 3)
= 2 u + 6
Number of guinea pigs' legs
= 4 x 1 u
= 4 u
There are 28 more guinea pigs legs than geese' legs.
4 u = 2 u + 6 + 28
4 u - 2 u = 34
2 u = 34
1 u = 34 ÷ 2 = 17
Number of geese and guinea pigs in the pet sanctuary
= 2 u + 3
= 2 x 17 + 3
= 34 + 3
= 37
Answer(s): 37
