SOLUTION: There were 200 tickets sold for Mr. Rustin. Tickets were $1.50 for students and $3.00 for adults. The total amount collected was $495. How many of each type of ticket were sold?

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Question 270704: There were 200 tickets sold for Mr. Rustin. Tickets were $1.50 for students and $3.00 for adults. The total amount collected was $495. How many of each type of ticket were sold?
(Here is what I tried:)
Variables:
s= student tickets
a=adult tickets
$1.50s+$3.00a=$495
s+a=$200
I tried using the method of substitution but I can't seem to get to any solution. Could you please help me with this one?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
There were 200 tickets sold for Mr. Rustin. Tickets were $1.50 for students and $3.00 for adults. The total amount collected was $495. How many of each type of ticket were sold?
(Here is what I tried:)
Variables:
s= student tickets
a=adult tickets
$1.50s+$3.00a=$495
s+a=$200
------------
What you have is the right approach, you were just one step away
s + a = 200 (not dollars)
--> s = 200 - a
Then sub for s into the 1st eqn
1.5(200-a) + 3a = 495
300 + 1.5a = 495
1.5a = 195
a = 130
s = 70