Answers Advanced Algebra Concepts and Connections Practice TestQuestion 11

11

practice testMultiple Choice

Practice Test

Question 11 • Advanced Algebra: Concepts and Connections

Organizers of the town fair make a total of 706 dollars from selling 164 hot dogs and 74 hamburgers at one of their concession stands. At their other concession stand, they make 884 dollars by selling 256 hot dogs and 61 hamburgers. If the prices are the same at both concession stands, what is the price of a hot dog?

Answer

A

3 point 7 5 dollars

B

0 point 4 0 dollars

C

4 point 0 0 dollars

D

2 point 5 0 dollars

Explanation

Let h be the hot dog price and b the hamburger price. The sales totals give 164h + 74b = 706 and 256h + 61b = 884. Eliminating b gives h = (706 × 61 − 884 × 74) ÷ (164 × 61 − 256 × 74) = 2.50. So the hot dog costs 2.50 dollars, choice A.

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