System of Equations: Raising Funds
Not what you're looking for?
Two teams need to raise $1,000 each for their end-of-the-year field trips. Team A wants to sell hot dogs at the games, and Team B wants to sell nachos. It costs $20 to rent a hot dog roller and it costs $10 to rent a nacho chip warmer. The cost of additional supplies for the hotdog is $0.02 per tray. The additional cost for the nachos is $0.06 per container. Team A will sell the hot dogs for $1.50 each. Team B will sell the nachos for $1.00 each.
1) Create a system of equations to model the profit for each time.
2) Graph the system of equations for problem #1.
3) How many hot dogs will Team A need to sell to reach their goal?
4) How many nachos will Team B need to sell to reach their goal?
5) What is the least number of items Team will need to sell to avoid losing money?
6) What is the least number of items Team B will need to sell to avoid losing money?
7) At what point do both teams earn the same amount of profit? How do you know and how much profit is earned?
Purchase this Solution
Solution Summary
The solution provides step-by-step solving of the given problem providing a system of equations.
Solution Preview
Please see the attachment for the full response.
1)
Let the number of hot dogs that Team A sells be x1 and the number of nachos that Team B sells be x2.
It costs $20 to rent a hot dog roller, which is the fixed cost. The cost of additional supplies for the hotdog is $0.02 per tray, which is the variable cost. The selling price of hot dogs is $1.50 each.
The equation to model the profit for Team A, according to the given conditions, is as follows:
Profit,P_A=(1.50-0.02) ...
Education
- MSc, Osmania University
- MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
- BSc, Banaras Hindu University
Recent Feedback
- "Very fast turnaround. Excellent communication! Much appreciated!"
- "excellent"
- "excellent"
- "excellent work"
- "Fantastic..great solution and very well explained!!!!"
Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.