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.

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(52815) (Show Source): You can put this solution on YOUR website!
.

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.

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