During the Christmas holidays, a group of friends went out for dinner at a restaurant in Montego Bay. The cost for five servings of fries, four fried chicken and three servings of vegetables was $3950. The cost for the two servings of fries, three fried chicken and four servings of vegetables was $3050. The cost for three servings of fries, six fried chicken and two servings of vegetables was $4050. What is the cost for a serving of fries, a fried chicken, and a serving of vegetables?   Use Cramer’s rule to answer the above problem. Include the following steps: Define each variable.  Write each equation.   Rewrite as systems in matrix form with the coefficient, variables, and constants matrices. Calculate each determinant. Solve for the cost of a serving of fries, a fried chicken and a serving of vegetable.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.4: Solve Systems Of Equations With Three Variables
Problem 4.71TI: The community college fine arts department sold three kinds of tickets to its latest dance...
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During the Christmas holidays, a group of friends went out for dinner at a restaurant in Montego Bay. The cost for five servings of fries, four fried chicken and three servings of vegetables

was $3950. The cost for the two servings of fries, three fried chicken and four servings of vegetables was $3050. The cost for three servings of fries, six fried chicken and two servings of vegetables was $4050. What is the cost for a serving of fries, a fried chicken, and a serving of vegetables?

 

  1. Use Cramer’s rule to answer the above problem. Include the following steps:
    1. Define each variable. 
    2. Write each equation. 
    3.  Rewrite as systems in matrix form with the coefficient, variables, and constants matrices.
    4. Calculate each determinant.
    5. Solve for the cost of a serving of fries, a fried chicken and a serving of vegetable.
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