Adam has a total of 16 geese and horses.
The number of geese' legs is 16 less than the horses' legs.
How many (a) geese and (b) horses does Adam have?
| Number of horses |
Number of horses' legs |
Number of geese |
Number of geese' legs |
Number of less
geese' legs than horses' 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 |
| 8 |
8 x 4 =
32 |
8 |
8 x 2 =
16 |
32 - 16 =
16 |
(a)
If Adam has 16 horses,
the number of legs
= 16 x 4
= 64
If Adam has 15 horses and 1 goose,
number of less geese' legs than horses' legs
= 15 x 4 - 1 x 2
= 60 - 2
= 58
Decrease in the number of legs when 1 horse is replaced by a 1 goose
= 64 - 58
= 6
Total decrease in the number of legs
= 64 - 16
= 48
Number of geese
= 48 ÷ 6
= 8
(b)
Number of horses
= 16 - 8
= 8
Answer(s): (a) 8; (b) 8
