Answer: 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
The total number of tickets were sold to students is 212.
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
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.
And total sale $1,972.
The total tickets were sold to the student.
Let x be the ticket for the adult and y be the ticket for the student.
A total of 326 adult and student tickets were sold for a high school play.
x + y = 326 .....1
The ticket prices were $8 for adults and $5 for students.
And total sale $1,972.
8x + 5y = 1972 .....2
Then on solving equations 1 and 2 we get
114 tickets for adults and 212 tickets for students.
Thus, the total number of tickets were sold to students is 212.
More about the linear system link is given below.
https://brainly.com/question/20379472
