Thank you for visiting Peter and his friends visited the same café in Wonderland four times last week 1 The first time they bought 3 cups of coffee 2. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
To set up a system of linear equations for this problem, assign variables to the prices of the items. Then use the Gaussian algorithm to solve the system and find the price of each item.
Explanation:
To set up a system of linear equations for this problem, we can assign variables to the prices of the items. Let's call the price of a cup of coffee C, the price of a muffin M, the price of a bagel B, and the price of a cup of tea T.
From the information given, we can write the following equations:
- 3C + 2M + B = 20.50
- 2C + T + M + B = 16.00
- T + B = 5.00
- C + M + T = 10.50
Now let's solve this system of equations using the Gaussian algorithm to get the row echelon form of the augmented matrix:
+-----------------+
| 3 2 1 1 | 20.50
| 2 0 1 1 | 16.00
| 0 1 1 0 | 5.00
| 1 1 1 0 | 10.50
+-----------------+
Solving this augmented matrix yields the row echelon form:
+-----------------+
| 1 0 0 1 | 7.50
| 0 1 0 -1 | 4.00
| 0 0 1 1 | 2.50
| 0 0 0 0 | 0.00
+-----------------+
From the row echelon form, we can conclude that C = 7.50, M = 4.00, B = 2.50, and T = 0.00. Therefore, the price of each item is as follows:
- Cup of coffee: $7.50
- Muffin: $4.00
- Bagel: $2.50
- Cup of tea: $0.00
Learn more about Linear Equations here:
https://brainly.com/question/32634451
#SPJ11
Thank you for reading the article Peter and his friends visited the same café in Wonderland four times last week 1 The first time they bought 3 cups of coffee 2. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
- You are operating a recreational vessel less than 39 4 feet long on federally controlled waters Which of the following is a legal sound device
- Which step should a food worker complete to prevent cross contact when preparing and serving an allergen free meal A Clean and sanitize all surfaces
- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees
Rewritten by : Jeany
