In a prestigious cafeteria in the city, a client bought three muffins, two coffees and two sandwiches, and paid a total of $20. After reviewing his bill, he found that he had been charged for an extra muffin and an extra sandwich. When he requested a refund, they returned four (4) dollars. To make up for the mistake, the owner of the cafeteria offered to take a muffin and a coffee for only three (3) dollars, which was a 40% discount from their original prices. Design the Linear Equations System that is generated and solve it using the Bareiss Algorithm method, to determine the full price (without discounts), of a muffin, a sandwich and a coffee.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In a prestigious cafeteria in the city, a client bought three muffins, two coffees and two sandwiches, and paid a total of $20. After reviewing his bill, he found that he had been charged for an extra muffin and an extra sandwich. When he requested a refund, they returned four (4) dollars. To make up for the mistake, the owner of the cafeteria offered to take a muffin and a coffee for only three (3) dollars, which was a 40% discount from their original prices.

Design the Linear Equations System that is generated and solve it using the Bareiss Algorithm method, to determine the full price (without discounts), of a muffin, a sandwich and a coffee.

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