Answer:
Step-by-step explanation:
If all were chickens, there would be 64 feet. There are 34 more feet than that. Each goat contributes 2 more feet than a chicken contributes, so there must be 34/2 = 17 goats, leaving 32-17 = 15 chickens.
There are 17 goats and 15 chickens.
Answer: there were 17 goats and 15 chickens
Step-by-step explanation:
Let x represent the number of goats in the field.
Let y represent the number of chicken in the field.
there are 32 heads in the field. A goat has one head. A chicken also has one head. This means that
x + y = 32
Therefore are 98 feet in the field. A goat has 4 feet. A chicken also has 2 feet. It means that
4x + 2y = 98 - - - - - - - - - - - -1
Substituting x = 32 - y into equation 1, it becomes
4(32 - y) + 2y = 98
128 - 4y + 2y = 98
- 4y + 2y = 98 - 128
- 2y = - 30
y = - 30/ - 2
y = 15
x = 32 - y = 32 - 15
x = 17
