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Adult tickets to the fall play cost $8 and student tickets cost $4. The drama class sold 30 more adult tickets than student tickets to the fall play. If the class collected $840 from ticket sales, how many adult tickets were sold?

Respuesta :

Let the number of student tickets sold be x
Then, amount of money earned from student tickets = $4x
Number of adult tickets sold = 30+x
Then, amount of money earned from adult tickets = $8(30+x) = $(240+8x)

Since,
$4x + $8(30+x) = $840
4x + 240+8x = 840
12x + 240 = 840
12x = 840-240= 600
x= 600/12 = 50

Number of student tickets sold = 50
Therefore,
Number of adult tickets sold = 50+30 = 80

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