Fiona and her friends went to a smoothie shop. They ordered three strawberry smoothies and two protein shakes for a total of 24 point 0 0 dollars Last week they ordered one strawberry smoothie and four protein shakes for a total of 25 point 5 0 dollars The system that represents their purchases is shown. x plus 4 y is equal to 25 point 5 0; 3 x plus 2 y is equal to 24 point 0 0 What is the price of a protein shake?
Let x be the price of a strawberry smoothie and y the price of a protein shake. Multiply x + 4y = $25.50 by 3 to get 3x + 12y = $76.50, then subtract 3x + 2y = $24.00. This gives 10y = $52.50, so y = $5.25. The protein shake costs $5.25, choice A.
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