Math Problem Statement
jawabannya
Sebuah restoran menjual paket makanan A dan B. Satu paket A terdiri dari 2 burger dan 3 minuman, sedangkan satu paket B terdiri dari 3 burger dan 2 minuman. Jika harga satu paket A adalah Rp40.000,00 dan satu paket B Rp35.000,00, maka sistem persamaan yang sesuai adalah:
Solution
The image you've uploaded contains a problem that involves forming a system of linear equations based on the prices of food packets.
Let's break it down:
We are given the following information:
- Paket A consists of 2 burgers and 3 drinks, and its price is Rp40,000.
- Paket B consists of 3 burgers and 2 drinks, and its price is Rp35,000.
Let:
- represent the price of one burger.
- represent the price of one drink.
From the given, we can form two equations:
- For Paket A:
- For Paket B:
Now, let's check the options:
- Option a: , matches the system of equations we derived.
Thus, the correct answer is a.
Additional Questions:
- How do we solve this system of equations?
- What happens if we try to eliminate one of the variables in the system?
- How would the equations change if we had more types of packets with different quantities of burgers and drinks?
- What is the graphical interpretation of these equations in terms of lines?
- How can we verify the solution for and ?
Tip: When solving systems of linear equations, the substitution and elimination methods are the most common techniques.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Algebra
Formulas
Linear system of equations
Theorems
System of linear equations
Suitable Grade Level
Grades 7-9