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:

  • xx represent the price of one burger.
  • yy represent the price of one drink.

From the given, we can form two equations:

  1. For Paket A: 2x+3y=40,0002x + 3y = 40,000
  2. For Paket B: 3x+2y=35,0003x + 2y = 35,000

Now, let's check the options:

  • Option a: 2x+3y=40,0002x + 3y = 40,000, 3x+2y=35,0003x + 2y = 35,000 matches the system of equations we derived.

Thus, the correct answer is a.

Additional Questions:

  1. How do we solve this system of equations?
  2. What happens if we try to eliminate one of the variables in the system?
  3. How would the equations change if we had more types of packets with different quantities of burgers and drinks?
  4. What is the graphical interpretation of these equations in terms of lines?
  5. How can we verify the solution for xx and yy?

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