Concept explainers
Anne, Barry, and Cathy enter a coffee shop. Anne orders two coffees, one juice, and two doughnuts and pays $6.25. Barry orders one coffee and three doughnuts and pays $3.75. Cathy orders three coffees, one juice, and four doughnuts and pays $9.25. Find the price of coffee, juice, and doughnuts at this coffee shop.
The price of one coffee, one juice and one doughnut at the coffee shop.
Answer to Problem 8T
The price of one coffee, one juice and one doughnut at the coffee shop are
Explanation of Solution
Given:
The price of two coffee, one juice and two doughnut is
The price of one coffee is
Price of two coffee, one juice and two doughnut is
Price of one coffee and three doughnut is
Price of three coffee, one juice and four doughnut is
The system of the equations is,
And,
And,
Write the augmented matrix of the system.
Apply row operation
Apply row operation
Apply row operation
Apply row operation
This is row-echelon form.
Write the above matrix in the system of equations.
Substitute
Substitute
Thus, the price of one coffee, one juice and one doughnut at the coffee shop are
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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