There are some doves and guinea pigs in a pet sanctuary. There are 9 less guinea pigs than doves in the pet sanctuary but there are a total of 24 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 + 9 |
1 u |
2 u + 9 |
Value |
2 |
4 |
|
Total Value |
2 u + 18 |
4 u |
|
Number of doves' legs
= 2 x (1 u + 9)
= 2 u + 18
Number of guinea pigs' legs
= 4 x 1 u
= 4 u
There are 24 more guinea pigs legs than doves' legs.
4 u = 2 u + 18 + 24
4 u - 2 u = 42
2 u = 42
1 u = 42 ÷ 2 = 21
Number of doves and guinea pigs in the pet sanctuary
= 2 u + 9
= 2 x 21 + 9
= 42 + 9
= 51
Answer(s): 51