Question

An old movie theater charges $4 for an adult and $2 for a child's ticket. One night, 380 tickets were sold for a total of $1320. How many children attended the movie that night?​

Answer 1

Answer: 0

Step-by-step explanation:

Let statements :

Let x be the number of tickets sold for an adult

Let y be the number of tickets sold for a child

Equations :

x + y = 280  OR  y = 280 - x

4x + 2y = 1320

Substitution (sub the 2 equations in together) :

4x + 2(280 - x) = 1320

4x + 560 - 2x = 1320

2x = 1320 - 560

x = 760/2

x = 380

x is the number of tickets sold for the adults. meaning that 380 adults went.

Find the # of children :

x + y = 380

we know that x = 380

380 + y = 380

y = 380 - 380

y = 0

Conclusion :

No children went because the movie was rated R. Only adults attended.