74
QuizMultiple Choice

N/A — Exam

Question 74 • Algebra II

At a cafe, the Bishop family pays 12 dollars for a salad, a fruit bowl, and two sandwiches. The Cortez family pays 14 dollars for two salads and two sandwiches. The Donovan family pays 14 dollars for a salad and three fruit bowls. What is the price of a fruit bowl at the cafe?

Answer
A
5 dollars
B
3 dollars
C
4 dollars
D
2 dollars

Explanation

Let s be the price of a salad, f the price of a fruit bowl, and x the price of a sandwich. The Cortez family’s bill gives 2s + 2x = 14, so s + x = 7. Comparing that with the Bishop family’s bill, s + f + 2x = 12, gives f + x = 5. Using the Donovan family’s bill, s + 3f = 14, and substituting s = 7 − x and f = 5 − x gives x = 2 and f = 3. So the fruit bowl costs 3 dollars, choice B.

AI-written and checked against the verified answer.

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