Pastry Sales Equations

Hard Word Problems Algebraic Reasoning

In a bakery, there are two types of pastries: croissants and muffins. Each croissant costs $2, and each muffin costs $3. During a sale, the bakery sold a total of 80 pastries, earning $180. Let $x$ represent the number of croissants sold, and $y$ represent the number of muffins sold.

Which of the following systems of equations can be used to determine the values of $x$ and $y$?

$$x + y = 80$$ and $$2x + 3y = 180$$

$$x + 3y = 80$$ and $$2x + y = 180$$

$$2x + y = 80$$ and $$x + 3y = 180$$

$$3x + 2y = 80$$ and $$x + y = 180$$

Hint

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