Ask Question
26 December, 10:00

The manager at a movie theater keeps track of the number of evening tickets and matinee tickets sold each day and the total money received. On Friday, a total of 63 tickets were sold, and the money collected was $742. If evening tickets are sold for $14 and matinee tickets are sold for $10, how many evening tickets and matinee tickets were sold?

+2
Answers (1)
  1. 26 December, 13:05
    0
    Given:

    63 tickets were sold.

    Money collected = $742.

    Evening tickets cost $14 each.

    Matinee tickets cost $10 each.

    Let

    x = number of evening tickets sold

    y = number of matinee tickets sold

    Then

    x + y = 63 (1)

    14x + 10y = 742 (2)

    From (1), obtain

    y = 63 - x (3)

    Substitute (3) into (2).

    14x + 10 (63 - x) = 742

    4x + 630 = 742

    4x = 112

    x = 28

    y = 63 - 28 = 35

    Answer: 28 evening and 35 matinee tickets were sold.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “The manager at a movie theater keeps track of the number of evening tickets and matinee tickets sold each day and the total money received. ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers