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8) Tinseltown charges $9 for adult tickets and $5 for student tickets. For the 7:30 showing of Sonic the
Hedgehog they sold 200 tickets for $1528. This is reflected in the following equations:
a + s = 200
9a + 5s = 1528
How many student tickets were sold?

Respuesta :

absor201

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.

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