Question 57328
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. Write a system of equations that can be used to determine the number of adult and student tickets purchased.
Determine the number of adults tickets sold and the number of student tickets sold.
1st: a+s=1500
2nd: 3.5a+2s=3825
Solve 1st for a and substitute in 2nd to get:
3rd: 3.5(1500-s)+2s=3825
5250-3.5s+2s=3825
-1.5s=-1425
s=950 (number of students tickets sold)
Substitute into 1st to solve for "a":
a+950 = 1500
a=550 (number of adult tickets sold)
Cheers,
Stan H.