The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 seni

Question

The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102. The school took in $126 the second day by selling 7 senior citizen tickets and 5 student tickets. What is the price each of one senior citizen ticket and one student ticket?

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Lệ Thu 4 weeks 2023-01-07T20:25:13+00:00 1 Answer 0 views 0

Answer ( 1 )

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    2023-01-07T20:26:44+00:00
    The price of one senior citizen ticket is $8 while the price of one student ticket is $14.

    How to solve simultaneous equations:

    Forming the sales units and total revenue for each day as simultaneous equations will give:
    Day one sales = 4c + 5s = $102   … equation 1
    Day two sales = 7c + 5s = $126    … equation 2

    Data and Calculations:

                            Senior Citizen (c)     Students  (s)  Total Sales
    Day one                    4                         5               $102
    Day two                    7                          5              $126
    Equation 1: 4c + 5s = $102
    Equation 2: 7c + 5s = $126
    Elimination:
    Deducting equation one from equation two will give:
       7c + 5s = $126
    – 4c + 5s = $102
    = 3c = $24
    c = $8 ($24/3)
    Substitution of c in equation one:
    4c + 5s = $102
    = 4 x $8 + 5s = $102
    = $32 + 5s = $102
    5s = $102 – $32
    5s = $70
    s = $14
    Check accuracy in equation two:
    7c + 5s = $126
    = 7 x $8 + 5 x $14 = $126
    = $56 + $70 = $126
    Thus, the price of one senior citizen ticket is $8 while the price of one student ticket is $14.
    Learn more about simultaneous equations at https://brainly.com/question/185757
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