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

Question

Mathematics

Justice Schmidt

8 September, 20:42

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

+3

Answers (1)

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Gilberto Olson · Answer 1

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)