Question

Write a system of equations to solve the problem.
A local theater sells out for their show. They sell at 500 tickets for a total purse of $8,010.00.
The tickets were priced at $15.00 for students, $12.00 for children, and $18.00 for adults. If the band sold three times as many adult tickets as children's tickets, how many of each type were sold?
Let s represent the number of student tickets, c represent the number of child tickets, and a represent the number of adult tickets.

The given information creates the following system of equations:

1) s + c + a = 500 (Total number of tickets sold is 500)
2) 15s + 12c + 18a = 8010 (Total sales is $8,010)
3) a = 3c (Three times as many adult tickets sold as child tickets)

This system of equations can be used to find the number of each type of ticket sold.

Related Questions

Define your variables, write a system of equations, use your calculator to solve the system of equat... Solve using system ofbequations to solve the problem. Write a system of equations to solve the prob... Solve the problem using system of equations. A local theater sells out for their show. They sell at... Solve using system of equations A local theater sells out for their show. They sell at 500 ticket...