Adam has a total of 14 chicken and donkeys.
The number of donkeys' legs is 32 more than the chicken' legs.
How many (a) chicken and (b) donkeys does Adam have?
Number of donkeys |
Number of donkeys' legs |
Number of chicken |
Number of chicken' legs |
Number of more donkeys' legs than chicken' legs |
14
|
14 x 4 = 56 |
0 |
0 x 2 = 0 |
56 - 0 = 56 |
13 |
13 x 4 = 52 |
1 |
1 x 2 = 2 |
52 - 2 = 50 |
10 |
10 x 4 = 40 |
4 |
4 x 2 = 8 |
40 - 8 = 32 |
(a)
If Adam has 14 donkeys,
the number of legs
= 14 x 4
= 56
If Adam has 13 donkeys and 1 chicken,
number of more donkeys' legs than chicken' legs
= 13 x 4 - 1 x 2
= 52 - 2
= 50
Decrease in the number of legs when 1 donkey is replaced by 1 chicken
= 56 - 50
= 6
Total decrease in the number of legs
= 56 - 32
= 24
Number of chicken
= 24 ÷ 6
= 4
(b)
Number of donkeys
= 14 - 4
= 10
Answer(s): (a) 4; (b) 10