Problema Solution
The circus is coming to town. Sue is selling tickets. The first day she sold 4 senior citizen tickets and 2 children's tickets for a total of $80. The second day she received $145 for 5 senior citizen tickets and 7 children's tickets. What is the price of a child's ticket and a senior citizen ticket?
Answer provided by our tutors
Let
x = the price of a senior citizen ticket
y = the price of a child's ticket
The first day she sold 4 senior citizen tickets and 2 children's tickets for a total of $80:
4x + 2y = 80
The second day she received $145 for 5 senior citizen tickets and 7 children's tickets:
5x + 7y = 145
We have the following system of equations:
4x + 2y = 80
5x + 7y = 145
........
........
x = $15
y = $10
The price of a child's ticket is $10.
The price of a senior citizen ticket is $15.