There are 2 times as many guinea pigs as ducks.
There are 50 legs altogether.
- Find the number of animals.
- Find the number of less guinea pigs than ducks.
- How many more guinea pigs' legs are there than ducks' legs?
| |
Guinea Pigs |
Ducks |
Total |
Difference |
| Number (Animals) |
2 u |
1 u |
3 u |
1 u |
| Value (Legs) |
4 |
2 |
|
|
| Total value (Total legs) |
8 u |
2 u |
10 u |
6 u |
$
Choose the animal type with a smaller number to be 1 u.
Let the number of ducks be 1 u.
Number of ducks = 1 u
Number of guinea pigs = 2 u
Number of ducks' legs = 2 x 1 u = 2 u
Number of guinea pigs' legs = 4 x 2 u = 8 u
Total number of legs
= 8 u + 2 u
= 10 u
10 u = 50
1 u = 50 ÷ 10 = 5
(a)
Number of animals
= 2 u + 1 u
= 3 u
= 3 x 5
= 15
(b)
Number of less guinea pigs than ducks
= 2 u - 1 u
= 1 u
= 1 x 5
= 5
(c)
Number of more guinea pigs' legs than ducks' legs
= 8 u - 2 u
= 6 u
= 6 x 5 = 30
Answer(s): (a) 15; (b) 5; (c) 30
