SAT Math Multiple Choice Question 603: Answer and Explanation

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Question: 603

3. A total of 300 tickets were sold for a performance of a school play. The ticket prices were $5 for each adult and $3 for each child, and the total revenue from tickets was $1,400. Solving which of the following systems of equations would yield the number of adult tickets sold, a, and the number of children's tickets sold, c?

  • A. a + c = 1,400

    5a + 3c = 300

  • B. a + c = 300

    5a + 3c = 1,400

  • C. a + c = 300

    3a + 5c = 1,400

  • D. a + c = 300

    3a + 5c = 1,400 × 2

Correct Answer: B

Explanation:

B

Algebra (algebraic expressions) EASY

Let a = # of adult tickets sold, and c = # of child tickets sold. If 300 tickets were sold altogether:

c + a = 300

The revenue for a adult tickets sold at $5 each is $5a, and the revenue for c child tickets sold at $3 each is $3c. Since the total revenue is $1,400:

5a + 3c = 1,400

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