SOLUTION: 2. 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 bou

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Question 57313: 2. 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. Use mathematics to explain how you determined your answer.


Answer by aaaaaaaa(138)   (Show Source): You can put this solution on YOUR website!
a)
b)
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving 1*s to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that s=950. Since , a=550.

Answer: .
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