Question
Allysa spent $35 to purchase 12 chickens. She bought two different types of chickens. American chickens cost $3.75 each and Delaware chickens cost $2.50 each. Write a system of equations that can be used to determine the number of American chickens, A, and the number of Delaware chickens, D, she purchased. Determine algebraically how many of each type of chicken Allysa purchased. Extension: Each American chicken lays 2 eggs per day and sells eggs by the full dozen for $2.50. Determine how much money she expects to take in at the end of the first week with her 12 chickens.
Ask by Weston Vargas.
Mar 25,2025 20:46
UpStudy AI Solution
Tutor-Verified Answer
Answer
Equation 1: A + D = 12, Equation 2: 3.75A + 2.5D=35.
Allysa purchased: 4 American chickens, 8 Delaware chickens.
Assuming only American chickens’ eggs are sold, Allysa will earn approximately $11.65 at the end of the week.
Solution
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Bonus Knowledge
This problem demonstrates how to set up and solve a system of linear equations based on real-world constraints (cost and quantity). We used substitution by expressing in terms of to solve for easily.
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