Question

At a local discount theatre, tickets to the film The

Early Bird Gets the Sleepiest cost only $2.50 for
adults and $1 for children. If 19 people attended
the last showing and the theatre sold $40 worth of
tickets:
a.) How many adults attended the showing?
b.) How many children attended the showing?

Answer 1

14 adults and 5 children

Explanation:

Set up a system of equations, where a is the number of adults and c is the number of children:

2.5a + c = 40

a + c = 19

Multiply the bottom equation by -1 to solve by elimination:

2.5a + c = 40

-a - c = -19

1.5a = 21

a = 14

Now, plug in 14 as a to find the number of children:

a + c = 19

14 + c = 19

c = 5

So, 14 adults and 5 children attended