AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Write a system of equations to describe the situation below, solve using an augmented matrix, and fill in the blanks.The administrative assistant at a software company often provides breakfast when there is a morning meeting. For last week's sales meeting, she purchased dozen doughnuts and dozen croissants, spending a total of . In preparation for yesterday's safety meeting, she spent on dozen croissants. Assuming she purchased the items at the same bakery both times, how much does a dozen of each cost?A dozen doughnuts costs , and a dozen croissants costs .
Full solution
Q. Write a system of equations to describe the situation below, solve using an augmented matrix, and fill in the blanks.The administrative assistant at a software company often provides breakfast when there is a morning meeting. For last week's sales meeting, she purchased dozen doughnuts and dozen croissants, spending a total of . In preparation for yesterday's safety meeting, she spent on dozen croissants. Assuming she purchased the items at the same bakery both times, how much does a dozen of each cost?A dozen doughnuts costs , and a dozen croissants costs .
- Formulate Equations: First equation based on dozen doughnuts and dozen croissants for .
- Create Augmented Matrix: Second equation based on dozen croissants for .
- Find Croissant Cost: Write the system of equations as an augmented matrix. \left[\begin{array}{cc|c}\(\newline8 & 2 & 68 (\newline\)0 & 1 & 10\end{array}\right]\)
- Calculate Doughnut Cost: Use row operations to find the cost of a dozen croissants.Since the second row is already solved for , we know that .
- Verify Solution: Substitute into the first equation to find .
- Verify Solution: Substitute into the first equation to find .
Check the solution by substituting and back into the original equations.
More problems from Solve a system of equations using any method: word problems
QuestionGet tutor help
QuestionGet tutor help