Amovie theater sold 125 tickets for a matinee. the total amount of money collected was $878 . student tickets cost $7 , senior citizen tickets cost $6 , and general admission tickets cost $9 . there were 18 more student tickets sold than twice the amount of general admission tickets. use the information in the problem to create a system of three linear equations in three variables, for the number of student tickets, for the number of senior citizen tickets and for the number of general admission tickets. then use substitution to determine how many of each type of ticket was sold. express the solution as an ordered triple, .

The Number of student tickets, senior citizen ticket and general admission tickets are 62, 41 and 22 respectively. It is expressed as (62,41,22).

Explanation:

Let the Number of student tickets, senior citizen ticket and general admission tickets are x, y and z respectively.

It is given that the movie theater sold 125 tickets for a matinee. The total amount of money collected was $878 . Student tickets cost $7 , senior citizen tickets cost $6 , and general admission tickets cost $9 .

         ...... (1)

       .... (2)

There were 18 more student tickets sold than twice the amount of general admission tickets.

    ....(3)

Put in equation (1) and (2).

The equation (1) will become,

      .....(4)

The equation (2) will become,

  .....(5)

Solve equation (4) and (5) by elimination method we get,

Since , therefore .

Thus, the Number of student tickets, senior citizen ticket and general admission tickets are 62, 41 and 22 respectively. It is expressed as (62,41,22).

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

a function could be identified in 3 ways either on a chart,graph, or ordered pairs. first a function is that each point has its own. the rule is that there can be many x's to one y but there can not be 2 x's at different y's. so on a graph when you put a straight line through the y's there should be one dot only to be a function.

step-by-step explanation: