graphing, substitution, elimination, matrix
Not what you're looking for?
Part I (refer to the section on Systems of Linear Equations; Matrices in your text):
As a restaurant owner there are many decisions that you need to make on a daily basis, such as where to keep inventory levels. You wish to replenish your stock of dishes by purchasing 250 sets for your restaurant. You have two dish design from which to choose. One design costs $20 per set and the other $45 per set. If you only have $6,800 to spend, how many of each design should you order?
Hint:
Let x = the number of sets of $20 dishes and y = the number of sets of $45 dishes.
Solve the equations for the different dish designs to be ordered with the desired technique: graphing, substitution, elimination, matrix.
Explain how to check your solution for both equations.
Purchase this Solution
Solution Summary
Solve the equations for the different dish designs to be ordered with the desired technique: graphing, substitution, elimination, matrix. Explain how to check your solution for both equations.
Solution Preview
Let x be the number of sets of $20 dishes and y be the number of sets of $45 dishes.
We need to buy 250 sets of dishes, so x+y=250. This is our first equation.
Now, for each set of $20-a-set dishes, we pay 20 dollars. And we buy x of these sets. So, for all sets of $20-a-set dishes we buy, we pay 20x dollars.
For each set of $45-a-set dishes, we pay $45 dollars. And we buy y of these sets. So, for all sets of $45-a-set dishes we buy, we pay 45y dollars.
In total we're prepared to pay 6,800 dollars, so the sums have to add up to ...
Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Probability Quiz
Some questions on probability
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.