Mark sold 445 tickets for the school play. Student tickets cost $3 and adult tickets

cost $5. Mark's total income for the event was $1871. How any adult tickets did he

sell?

Respuesta :

Answer:

Mark sold 268 adult tickets.

Step-by-step explanation:

We are given the following in the question.

Let x be the number of students ticket sold and y be the number of adult tickets sold.

Total number of tickets sold = 445

Thus, we can write the equation:

[tex]x + y = 445[/tex]

Cost of student ticket = $3

Cost of an adult ticket = $5

Total income = $1871

Thus, we can write the equation:

[tex]3x + 5y = 1871[/tex]

Solving the two equations, we get,

[tex]3x + 5y - (3x+3y) = 1871 - 3(445) \\2y = 536\\\Rightarrow y = 268\\\Rightarrow x = 445 - 268 = 177[/tex]

Thus, Mark sold 268 adult tickets.

Answer:he sold 268 adult tickets at the school play

Step-by-step explanation: