12) The school that Danielle goes to is selling tickets to a choral performance. On the first day of

ticket sales the school sold 5 senior citizen tickets and 9 student tickets for a total of $144. The

school took in $192 on the second day by selling 14 senior citizen tickets and 6 student tickets.

What is the price each of one senior citizen ticket and one student ticket?

Senior citizen tickets = $9

Student tickets = $11

Step-by-step explanation:

We begin by converting these into simultaneous linear equation;

Senior citizen tickets = a

Student tickets = b

5a + 9b = 144

14a + 6b = 192

5a = 144 - 9b

a = 144/5 - 9b/5

a = 28.8 - 1.8b

We now substitute this into the first equation

14 (28.8 - 1.8b) + 6b = 192

403.2 - 25.2b + 6b = 192

-19.2b = 192 - 403.2

b = - 211.2/-19.2

b = 11

Put the value of b into either equation

5a + 9b = 144

5a + 9 (11) = 144

5a + 99 = 144

5a = 144-99

5a = 45

a = 9