SOLUTION: The school production of "Our town" was a big success. For opening night, 323 tickets were sold. Students paid $2.50 each while non students paid $4.50 each. If a total of $

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The school production of "Our town" was a big success. For opening night, 323 tickets were sold. Students paid $2.50 each while non students paid $4.50 each. If a total of $      Log On


   

Question 130431:
The school production of "Our town" was a big success. For opening night, 323
tickets were sold. Students paid $2.50 each while non students paid $4.50 each. If a total of $1009.50 was collected, how many students and how many non students attended?
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
S+NS=323 OR S=323-NS
2.50S+4.50NS=1009.50
2.50(323-NS)+4.50NS=1009.50
807.5-2.50NS+4.50NS=1009.50
2NS=1009.50-807.50
2NS=202
NS=202/2
NS=101 NUMBER OF NON STUDENT TICKETS SOLD.
323-101=222 STUDENT TICKETS SOLD.
PROOF:
2.50*222+4.50*101=1009.50
555+454.5=1009.5
1009.5=1009.5