SOLUTION: Hi everyone! I'm stuck on this one, hope someone can help. here it goes: Hilton University Drama Club sole 311 tickets for a play. Student tickets cost 50 cents each; non student

Question 85650: Hi everyone! I'm stuck on this one, hope someone can help.
here it goes:
Hilton University Drama Club sole 311 tickets for a play. Student tickets cost 50 cents each; non student tickets cost $1.50 each. If total reciepts were $385.50, find how many tickets of each type were sold.
Thanks!
Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
S+NS=311 THEN S=311-NS
.50S+1.50NS=385.50 NOW SUBSTITUTE (311-NS)FOR S AND SOLVE FOR NS.
.50(311-NS)+1.50NS=385.50
155.5-.5NS+1.5NS=385.50
1NS=385.50-155.50
NS=230 NUMBER OF NON-STUDENT TICKETS SOLD.
311-230=81 STUDENT TICKETS SOLD.
PROOF
.50*81+1.50*230=385.50
40.50+345=385.50
385.50=385.50

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