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Pranay's school is selling tickets to the annual talent show. On the first day of ticket sales the
school sold 9 senior citizen tickets and 10 student tickets for a total of $113. The school took in
$64 on the second day by selling 2 senior citizen tickets and 10 student tickets. What is the price
each of one senior citizen ticket and one student ticket?

Respuesta :

Answer:

Price of senior citizen ticket = $7

Price of student ticket = $5

Step-by-step explanation:

Let:

  • senior citizen ticket price = a
  • student ticket price = b

Equations formed :

  1. 9a + 10b = 113
  2. 2a + 10b = 64

Subtract : Equation 1 - Equation 2

  • 9a + 10b - 2a - 10b = 113 - 64
  • 7a = 49
  • a = 7

Finding b

  • 2(7) + 10b = 64
  • 10b = 50
  • b = 5

Solution

  • Price of senior citizen ticket = $7
  • Price of student ticket = $5

Answer:

Senior tickets would be 7 dollars

and

Student ticket prices would be 5 dollars

Step-by-step explanation: