748 student tickets were sold.
Step-by-step explanation:
Given,
Number of tickets sold = 1360
Revenue generated = $13328
Cost of each student ticket = $8
Cost of each non student ticket = $12
Let,
x be the number of student tickets sold
y be the number of non student tickets sold
According to given statement;
x+y=1360 Eqn 1
8x+12y=13328 Eqn 2
Multiplying Eqn 1 by 12
[tex]12(x+y=1360)\\12x+12y=16320\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 2 from Eqn 3
[tex](12x+12y)-(8x+12y)=16320-13328\\12x+12y-8x-12y=2992\\4x=2992\\[/tex]
Dividing both sides by 4
[tex]\frac{4x}{4}=\frac{2992}{4}\\x=748[/tex]
748 student tickets were sold.
Keywords: linear equation, elimination method
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