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31 July, 20:25

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?

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  1. 31 July, 20:45
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    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
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