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
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Question 772465: 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 by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Senor citizen ticket = x
Child's ticket = y
4x + 2y = 80...1
5x + 7y = 145...2
Multiply (1) by 5
Multiply (2) by 4
20x + 10y = 400...3
20x + 28y = 580...4
Subtract (3) from (4)
18y = 180
y = 10
Substitute y = 10 into (1)
4x + 2y = 80
4x + 2(10) = 80
4x + 20 = 80
4x = 80 - 20
4x = 60
x = 15.
Children's tickets cost $10
Senior citizen's tickets cost $15
Hope this helps.
:-)
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