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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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       Log On


   

Question 983390: 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?
To earn full credit, show how you solved the problem by using correct mathematical symbols and by explaining thoroughly in words each step.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x, child price
y, senior price
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PRICE%2AQUANTIY=COST

Cost and revenue mean the same for purposes of the question (this one; not any in general).

Day 1
2x%2B4y=80 which simplified becomes x%2B2y=40.

Day 2
7x%2B5y=145


The system to solve:
system%28x%2B2y=40%2C7x%2B5y=145%29




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y=15