Question

1)) Norachai school is selling tickets for the annual talent show. On the first day of ticket sales, the school sold 5 adult tickets and 4 student tickets for a total of $ 85. The school received $ 55 on the second day selling 5 adult tickets and 2 student tickets. What is the price of each adult and student ticket?

Answer 1

9514 1404 393

Answer:

• adult: $5
• student: $15

Step-by-step explanation:

If we let 'a' represent the price of an adult ticket, and 's' represent the price of a student ticket, the two sales can be described by ...

  5a +4s = 85

  5a +2s = 55

Subtracting the second equation from the first gives ...

  (5a +4s) -(5a +2s) = (85) -(55)

  2s = 30 . . . . simplify

  s = 15 . . . . divide by 2

Substituting this into the second equation, we have ...

  5a +2(15) = 55

  5a = 25 . . . . subtract 30

  a = 5 . . . . . divide by 5

Each adult ticket sold for $5; each student ticket sold for $15.