SOLUTION: Write a system of equations and then solve by the method of your choice. Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each.
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Question 1175378: Write a system of equations and then solve by the method of your choice. Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each. After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792. Find the number of each kind of ticket sold.
Which system of equations can be used to describe the situation? Answer by ikleyn(52814) (Show Source):
It is a standard problem in this class, and writing the system of equations for such problems is a routine task,
which does not require any efforts and does not create any difficulties.
You write the equations as you read
R + G = 1787 (1) (counting people, or, which is the same, counting tickets)
4R + 3G = 5792 (2) (counting money; it is the revenue equation)
Here R is the number of the reserved tickets and G is the number of the general admission tickets.
Do not overestimate this step ---- IT IS ROUTINE, and normal student should make it in semi-automatic mode.
