6
QuizMultiple Choice

Problem Solving — Quiz

Question 6 • Algebra II

For a school drama performance, student tickets cost 5 dollars each and adult tickets cost 10 dollars each. The sellers collected 3 dollars comma 570 from 512 tickets sold. Which equation can be used to find c , the number of student tickets sold?

Answer
A
10 times open paren 512 minus c close paren plus 5 c is equal to 3 comma 570
B
5 times open paren 512 minus c close paren plus 10 c is equal to 3 comma 570
C
5 times open paren 512 minus c close paren plus 10 c is equal to 512
D
10 times open paren 512 minus c close paren plus 5 c is equal to 512

Explanation

If c is the number of student tickets, then 512 − c is the number of adult tickets. Student tickets bring in 5c dollars, and adult tickets bring in 10(512 − c) dollars. The total collected was $3,570, so the equation is 10(512 − c) + 5c = 3,570, which is choice A.

AI-written and checked against the verified answer.

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