Answer:
Explanation:
Let x represent the number of Americana chickens that she bought.
Let y represent the number of Delaware chickens that she bought.
She bought a a total of 15 chickens.
This means that
x + y = 12
Americana chickens cost $3.75 each and Delaware chickens cost $2.50 each. The total amount that she spent was $35. It means that
3.75x + 2.5y = 35 - - - - - - - - - - 1
Substituting x = 12 - y into equation 1, it becomes
3.75(12 - y) + 2.5y = 35
45 - 3.75y + 2.5y = 35
- 3.75y + 2.5y = 35 - 45
- 1.25y = - 10
y = - 10/- 1.25
y = 8
x = 12 - y = 12 - 8
x = 4
She bought 4 Americana chickens and 8 Delaware chickens.
Each Americana chicken lays 2 eggs per day and each Delaware chicken lays 1 egg per day. This means that total number of eggs laid in a week would be
(4 × 2 + 8 × 1)7
= 112 eggs
Number of dozens of eggs gotten is
112/12 = 9.33
If each dozen costs $2.5, then the total amount of money she expects to take in at the end of the first week with her 12 chickens would be
9 × 2.5 = $22.5