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

Question

A bakery makes two types of pastries, croissants and muffins. Each croissant requires 0.5 cups of flour and 0.2 cups of sugar, while each muffin requires 0.3 cups of flour and 0.4 cups of sugar. The bakery has 20 cups of flour and 12 cups of sugar available. Let c be the number of croissants and m be the number of muffins. 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.

Key Concept Explanation
The key concepts include understanding how to represent constraints as inequalities and ensuring that all given conditions are accurately translated into mathematical expressions.

Step-by-step Solution
1. Define the variables: = number of croissants, = number of muffins.
2. Write the system of inequalities based on the given constraints:
Flour:
Sugar:
Non-negativity:

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Algebra-1

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