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7 February, 06:25

The price of admission at a movie theater is $6 for an adult and $4 for a child. In one day, the movie theater sold 80 tickets and made $420. How many adults and how many children bought tickets to the movie theater that day?

x + y = 80,

6x + 4y = 420

Which is a solution of the system of equations, and what does it represent?

(20, 60); 20 adult tickets and 60 child tickets

(30, 50); 30 adult tickets and 50 child tickets

(40, 40); 40 adult tickets and 40 child tickets

(50, 30); 50 adult tickets and 30 child tickets

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Answers (1)
  1. 7 February, 06:42
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    x+y = 80 or x-80-y

    6x+4y=420

    6 (80-y) + 4y = 420

    480 - 6y + 4y=420

    -2y + 480 = 420

    -2y = - 60

    y=30

    x = 80-y = 80-30=50

    y=30 (Children)

    x=50 (Adults)
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