A total of 326 adult and students tickets were sold for a high school play. The ticket prices were $8 for adults and $5 for students. If a total of $1972 was collected from ticket sales, how many student tickets were sold

1 answer

Let x be the number of adult tickets sold.
Then the number of student tickets sold is 326 - x.
The total revenue from adult tickets is 8x.
The total revenue from student tickets is 5(326 - x).
The total revenue is 1972.
So 8x + 5(326 - x) = 1972.
So 8x + 1630 - 5x = 1972.
So 3x + 1630 = 1972.
So 3x = 342.
So x = 114.
The number of student tickets sold is 326 - 114 = <<326-114=212>>212. Answer: \boxed{212}.