There are some doves and guinea pigs in a pet sanctuary. There are 11 less guinea pigs than doves in the pet sanctuary but there are a total of 38 more guinea pigs' legs than doves' legs in the pet sanctuary. Find the number of doves and guinea pigs in the pet sanctuary.
| |
Doves |
Guinea Pigs |
Total |
| Number |
1 u + 11 |
1 u |
2 u + 11 |
| Value |
2 |
4 |
|
| Total Value |
2 u + 22 |
4 u |
|
Number of doves' legs
= 2 x (1 u + 11)
= 2 u + 22
Number of guinea pigs' legs
= 4 x 1 u
= 4 u
There are 38 more guinea pigs legs than doves' legs.
4 u = 2 u + 22 + 38
4 u - 2 u = 60
2 u = 60
1 u = 60 ÷ 2 = 30
Number of doves and guinea pigs in the pet sanctuary
= 2 u + 11
= 2 x 30 + 11
= 60 + 11
= 71
Answer(s): 71
