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you are selling tickets for a high school play. student tickets cost $4 and general admission tickets cost $6. you sell 31 tickets and collect $170. write the system of equations that could be used to determine the number of student tickets, s, and the number of general admission tickets, g, were sold for the high school play. how many student tickets did you sell?

Respuesta :

As tickets are selling for a high school play. student tickets cost $4 and general admission tickets cost $6 and sell 31 tickets and collect $170.

Therefore, the system of equation is

8$4 + 23$6 = $32 + $138 = $170 total

A system of equations is a set of one or more equations with many variables. A solution to a system of equations is a variable map such that all component equations are satisfied. That is, the point where all those equations intersect.

Given that :

Ticket cost = $ 4 and $6

and collection = $170.

Now,

        4S+6G = 170                ------------------------ (1)

            S+G = 31                  -----------------------  (2)

Therefore,  subtract from 1st equation to eliminate one variable:

4S+ 4G = 124    ----------------------------- (3)

Now,

  2G = 46

⇒ G = 23 tickets

putting G = 23 in equation(2)

S = 31-23

  = 8 student tickets

The system of equation is:

8$4 + 23$6 = $32 + $138

                    = $170 total

Learn more about System of equation:

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