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A total of 326 adult and student tickets were sold for a high school play. The ticket prices were $8 for adults and $5 for students. If a total of $1,972 was collected from ticket sales, how many student tickets were sold?

114 adult tickets and 212 students tickets were sold.

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of student tickets that were sold.

A total of 326 adult and student tickets were sold for a high school play. This means that

x + y = 326

The ticket prices were $8 for adults and $5 for students. If a total of $1,972 was collected from ticket sales, it means that

8x + 5y = 1972 - - - - - - - - - - - - - -1

Substituting x = 326 - y into equation 1, it becomes

8(326 - y) + 5y = 1972

2608 - 8y + 5y = 1972

- 8y + 5y = 1972 - 2608

- 3y = - 636

y = - 636/-3

y = 212

x = 326 - y = 326 - 212

x = 114

its 8

step-by-step explanation: