8
QuizMultiple Choice

Modeling with Linear Systems — Quiz

Question 8 • Algebra II

The concession stand at the local high school sells pretzels and lemonade. The total cost of two pretzels and a lemonade is 5 point 7 5 dollars The total cost of two lemonades is 0 point 2 5 dollars more than the cost of a pretzel. What is the cost of a pretzel?

Answer
A
1 point 2 5 dollars
B
2 point 2 5 dollars
C
2 point 7 5 dollars
D
2 point 0 0 dollars

Explanation

Let p be the pretzel’s cost and l the lemonade’s cost. The statements give 2p + l = 5.75 and 2l = p + 0.25, so p = 2l − 0.25. Substituting into the first equation gives 5l − 0.50 = 5.75, so l = 1.25 and p = 2.25. The pretzel costs 2.25 dollars, choice B.

AI-written and checked against the verified answer.

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