Problema Solution

Tickets to a performance by the community theater cost $5.50 for adults and$2.75 for children. A total of 120 tickets were sold for $563.75.How many adults and how many children attended the performance?

Answer provided by our tutors

We will assume that each child bought one ticket and each adult bought one ticket.

Let

x = the number of child tickets sold

y = the number of adult tickets sold

x + y = 120

5.50x + 2.75y = 563.75

........

click here to see the system of equations solved for x and y

........

x = 85 child tickets

y = 35 adult tickets

There were 85 children and 35 adults at the performance.