Adam has a total of 16 geese and pigs.
The number of pigs' legs is 22 more than the geese' legs.
How many (a) geese and (b) pigs does Adam have?
| Number of pigs |
Number of pigs' legs |
Number of geese |
Number of geese' legs |
Number of more
pigs' legs than geese' legs |
16
|
16 x 4 =
64 |
0 |
0 x 2 =
0 |
64 - 0 =
64 |
| 15 |
15 x 4 =
60 |
1 |
1 x 2 =
2 |
60 - 2 =
58 |
| 9 |
9 x 4 =
36 |
7 |
7 x 2 =
14 |
36 - 14 =
22 |
(a)
If Adam has 16 pigs,
the number of legs
= 16 x 4
= 64
If Adam has 15 pigs and 1 goose,
number of more pigs' legs than geese' legs
= 15 x 4 - 1 x 2
= 60 - 2
= 58
Decrease in the number of legs when 1 pig is replaced by 1 goose
= 64 - 58
= 6
Total decrease in the number of legs
= 64 - 22
= 42
Number of geese
= 42 ÷ 6
= 7
(b)
Number of pigs
= 16 - 7
= 9
Answer(s): (a) 7; (b) 9
