SOLUTION: A movie theater has a seating capacity of 289. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children

Algebra ->  Linear-equations -> SOLUTION: A movie theater has a seating capacity of 289. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children      Log On


   

Question 1175450: A movie theater has a seating capacity of 289. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2106, How many children, students, and adults attended?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Full House?
2a, children
a, adults
x, students

system%283a%2Bx=289%2C22a%2B7x=2106%29

22a%2B7%28289-3a%29=2106-----------solve this equation for a.
.
.
.