A bakery sells two types of pastries, croissants and muffins...

Question

A bakery sells two types of pastries, croissants and muffins. Each croissant costs 4 dollars, and each muffin costs 3 dollars. The bakery has a budget of $120 for the day and wants to make at least 20 pastries in total. Let x be the number of croissants and y be the number of muffins (x, y are non-negative integers). Write the system of inequalities that represents this situation. __________.

Question Analysis
This question tests the student's ability to convert a real-world scenario into a system of inequalities. The problem involves constraints on the budget and the total number of pastries.

Key Concept Explanation
The key concepts include defining variables, identifying constraints, and translating these constraints into inequalities.

Step-by-step Solution
1. Define the variables: = number of croissants, = number of muffins.
2. Identify the constraints:
Budget constraint:
Total pastries constraint:
Non-negativity constraints: and
3. Combine the constraints to form the system of inequalities:

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Algebra-1

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