Adam has a total of 13 hens and donkeys.
The number of donkeys' legs is 28 more than the hens' legs.
How many (a) hens and (b) donkeys does Adam have?
Number of donkeys |
Number of donkeys' legs |
Number of hens |
Number of hens' legs |
Number of more donkeys' legs than hens' legs |
13
|
13 x 4 = 52 |
0 |
0 x 2 = 0 |
52 - 0 = 52 |
12 |
12 x 4 = 48 |
1 |
1 x 2 = 2 |
48 - 2 = 46 |
9 |
9 x 4 = 36 |
4 |
4 x 2 = 8 |
36 - 8 = 28 |
(a)
If Adam has 13 donkeys,
the number of legs
= 13 x 4
= 52
If Adam has 12 donkeys and 1 hen,
number of more donkeys' legs than hens' legs
= 12 x 4 - 1 x 2
= 48 - 2
= 46
Decrease in the number of legs when 1 donkey is replaced by 1 hen
= 52 - 46
= 6
Total decrease in the number of legs
= 52 - 28
= 24
Number of hens
= 24 ÷ 6
= 4
(b)
Number of donkeys
= 13 - 4
= 9
Answer(s): (a) 4; (b) 9