Respuesta :
Answer: 283 student tickets and 17 adult tickets were sold.
Step-by-step explanation:
Let x represent the number of student tickets that they sold.
Let y represent the number of adult tickets that they sold.
In total 300 tickets were sold. It means that
x + y = 300
The juniors sold the student tickets for $3 and he adult tickets for $8. After paying back the investors, the profit was $775. If the juniors initially received a total of $210 from investors, it means that the total revenue from the ticket sales is
775 + 210 = 985
The expression becomes
3x + 8y = 985- - - - - - - - - - -1
Substituting x = 300 - y into equation 1, it becomes
3(300 - y) + 8y = 985
900 - 3y + 8y = 985
- 3y + 8y = 985 - 900
5y = 85
y = 85/5
y = 17
x = 300 - y = 300 - 17
x = 283
