Question

Tickets for a school play cost $4 for adults and $2 for students. At the end of the play, the school sold a total of 105 tickets and collected $360. Write a linear system to find the number of adult tickets sold and number of student tickets sold.

Answer 1

Explanation:

Let x represent the number of adult tickets sold and

Let y represent the number of student tickets sold.

At the end of the play, the school sold a total of 105 tickets. This means that

x + y = 105 - - - - - - - - - - - -1

Tickets for a school play cost $4 for adults and $2 for students. The school collected a total of $360 for all the tickets sold. This means that

4x + 3y = 360 - - - - - - - - - 2

Equation 1 and equation 2 are the required system of linear equations