SOLUTION: I am not sure how to do this. There were 1500 people at a high school football game. Student tickets were $2.00 and adult tickets were $3.50. The total receipts for the game were

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Question 100329: I am not sure how to do this.
There were 1500 people at a high school football game. Student tickets were $2.00 and adult tickets were $3.50. The total receipts for the game were $3825. How many students bought tickets?
Let a = the number of adult tickets purchased.
Let s = the number of student tickets purchased.
a. Write a system of equations that can be used to determine the number of adult and student tickets purchased.
b. Determine the number of adults tickets sold and the number of student tickets sold. Use mathematics to explain how you determined your answer.

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
A+S=1500 A=1500-S
3.5A+2S=3825 NOW REPLACE A BY(1500-S)
3.5(1500-S)+2S=3825
5250-3.5S+2S=3825
-1.5S=3825-5250
-1.5S=-1425
S=-1425/-1.5
S=950 ANSWER FOR THE NUMBER OF STUDENT TICKETS SOLD.
A+950=1500
A=1500-950
A=550 ANSWER FOR THE NUMBER OF ADULT TICKETS SOLD.
PROOF
3.5*550++2*950=3825
1925+1900=3825
3825=3825