68 students tickets were sold.
Step-by-step explanation:
Given equations are;
a + s = 200 Eqn 1
9a + 5s = 1528 Eqn 2
The equation shows that a represent number of adults and s represent number of students, therefore, we will eliminate
Multiplying Eqn 1 by 9
[tex]9(a+s=200)\\9a+9s=1800\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 2 from Eqn 3
[tex](9a+9s)-(9a+5s)=1800-1528\\9a+9s-9a-5s=272\\4s=272[/tex]
Dividing both sides by 4
[tex]\frac{4s}{4}=\frac{272}{4}\\s=68[/tex]
68 students tickets were sold.
