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The cost of an adult ticket for a Saturday matinee at Turtle Cinema is $7.00. The cost of a student ticket is $2.00 less than the cost of an adult ticket. For a particular Saturday matinee, the cinema sold 45 tickets and collected $265.00. How many student tickets were sold for the Saturday matinee?

Respuesta :

juandonate97

Answer:

The answer is 25 student tickets

Step-by-step explanation:

If:

  Adult ticket price = 7

  Student ticket price = 7-2 = 5

  Adult ticket quantity = x

  Student ticket quantity = y

  Ticket quantity sold = x + y =45

  Saturday sells = 265

Then:

[tex]\left \{ {{x+y=45} \atop {7x+5y=265}} \right.[/tex]

So:

x= 45 - y

265 = 7(45 - y) + 5y

265 = 315 - 7y + 5y

265 = 315 -2y

265 - 315 = -2y

-50 = -2y

y= 50/2

y=25

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