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

Algebra ->  Systems-of-equations -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
a) system%28a+%2B+s+=+1500%2C+3.5a+%2B+2s+=+3825%29
b)
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++1%5Ca+%2B+1%5Cs+=+1500%2C%0D%0A++++3.5%5Ca+%2B+2%5Cs+=+3825+%29%0D%0A++We'll use substitution. After moving 1*s to the right, we get:
1%2Aa+=+1500+-+1%2As, or a+=+1500%2F1+-+1%2As%2F1. Substitute that
into another equation:
3.5%2A%281500%2F1+-+1%2As%2F1%29+%2B+2%5Cs+=+3825 and simplify: So, we know that s=950. Since a+=+1500%2F1+-+1%2As%2F1, a=550.

Answer: system%28+a=550%2C+s=950+%29.