Fiona and her friends went to a smoothie shop. They ordered three strawberry smoothies and two protein shakes for a total of $24.00. Last week they ordered one strawberry smoothie and four protein shakes for a total of $25.50. The system that represents their purchases is below.x + 4y = 25.503x + 2y = 24.00What is the price of a protein shake?
Let x be the price of a strawberry smoothie and y the price of a protein shake. From x + 4y = 25.50, x = 25.50 − 4y; substituting into 3x + 2y = 24.00 gives 3(25.50 − 4y) + 2y = 24.00, so y = 5.25. A protein shake costs $5.25, choice D.
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