AnswersPARTA - EOP PGCPS ALGEBRA 1 CR FALL2026 - 793023Solving Systems: Introduction to Linear CombinationsQuestion 9
9
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Solving Systems: Introduction to Linear Combinations

Question 9 • PARTA - EOP: PGCPS ALGEBRA 1 CR (FALL2026) - 793023

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?

Answer
A
$3.75
B
$4.50
C
$4.95
D
$5.25

Explanation

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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