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23 April, 15:21

The cost (c) to rent the convention hall is $500 plus $10 for each admission ticket. The company plans on selling tickets (R) to the event for $30 each to make money. Find how many admission tickets need to be sold in order for the convention to break even

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  1. 23 April, 15:49
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    Answer: 25 tickets

    Step-by-step explanation:

    First, we need to make an equation representing the cost (c)

    Let "a" be the number of tickets sold.

    C = 500 + 10a; where c is equivalent to the price of the concert.

    Next, we have to make an equation for amount they will make.

    Let a = amount sold

    c has to be equal to or greater than 30a

    so, 500 + 10a > = 30a

    Isolate the variable, - 10a on each side

    500 > = 20a

    divide. 25 > = a

    Therefore, the convention must sell 25 tickets or more to break even.
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