SOLUTION: 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

Question 105549: 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?
Answer by elima(1433) (Show Source): You can put this solution on YOUR website!
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?
====================================================
s+a=1500
2s+3.5a=3825
===========================
s=1500-a
2(1500-a)+3.5a=3825
3000-2a+3.5a=3825
-2a+3.5a=3825-3000
1.5a=825
a=550
================
s+550=1500
s=1500-550
s=950
=================
so there were;
950 students
:)
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