Question

Kyle paid $ 5.25 $5.25 for a cup of coffee and 2 2 muffins. Danielle paid $ 8.50 $8.50 for 2 cups of coffee and 3 muffins.

Answer 1

The student's question involves solving a system of linear equations to determine the price of a single cup of coffee (x) and a single muffin (y) based on the total amounts paid by Kyle and Danielle for different combinations of these items.

Step-by-step explanation:

The student's question involves a system of linear equations, which is often covered in high school algebra. Kyle and Danielle's purchases at a coffee shop can be analyzed to determine the individual prices of a cup of coffee and a muffin. Here's a method to find out the cost of each item:

1. Let's assign variables to the unknowns: Let x be the price of one cup of coffee and y be the price of one muffin.
2. According to the information, Kyle paid $5.25 for one coffee and two muffins, which can be represented as the equation x + 2y = 5.25.
3. Danielle paid $8.50 for two coffees and three muffins, which gives us the second equation 2x + 3y = 8.50.
4. We can solve this system of equations either by substitution, elimination, or matrix methods to find the values of x and y.

The exact same principles of solving a system of equations can be applied to the additional information provided about the coffee shop pricing to help understand changes in pricing structures. However, the latter is primarily an example rather than the core mathematical problem provided by the student.

Answer 2

answer my question first