Question

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?

Answer 1

Senior tickets would be 7 dollars

and

Student ticket prices would be 5 dollars

Explanation:

Answer 2

Price of senior citizen ticket = $7

Price of student ticket = $5

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