Answer:
$(3x + 2y) / 12.
Explanation:
To find the price difference between a croissant and a pretzel, we need to subtract the cost of a pretzel from the cost of a croissant. Let's break it down step-by-step: 1. Given that the cost of 6 croissants is $(2x + 3y) and the cost of 12 pretzels is $(x + 4y), we can calculate the price per croissant and the price per pretzel. 2. To find the price per croissant, we divide the total cost of the croissants by the number of croissants: - Price per croissant = $(2x + 3y) / 6. 3. To find the price per pretzel, we divide the total cost of the pretzels by the number of pretzels: - Price per pretzel = $(x + 4y) / 12. 4. Now, we can find the price difference by subtracting the price per pretzel from the price per croissant: - Price difference = Price per croissant - Price per pretzel. 5. Simplify the expression: - Price difference = $(2x + 3y) / 6 - $(x + 4y) / 12. 6. To simplify further, we can find a common denominator for the fractions, which is 12: - Price difference = (2 * $(2x + 3y) - $(x + 4y)) / 12. 7. Simplify the numerator: - Price difference = ($(4x + 6y) - $(x + 4y)) / 12. - Price difference = $(4x + 6y - x - 4y) / 12. - Price difference = $(3x + 2y) / 12. Therefore, the price difference between a croissant and a pretzel is $(3x + 2y) / 12.