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29 July, 02:29

Christian sold tickets to the game. Good seats were $5 each and poor seats cost $2 each. 210 people attended and paid $660. How many of each type of seat were sold

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  1. 29 July, 03:36
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    People who purchased good seats will be labeled as a

    people who purchased poor seats will be labeled as b

    therefore ...

    5a + 2b = 660

    a + b = 210

    Now, all that has to be done is for the system to be solved.

    -2 (a+b=210)

    5a + 2b = 660

    -2a - 2a = - 420

    3a=240

    a = 80

    *3 people purchased good seats.

    Now we can plug that number in

    5 (80) + 2b = 660

    400 + 2b = 660

    2b = 260

    b = 130

    *130 people purchased poor seats
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