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28 May, 08:29

A local sporting event charges $6 for each adult ticket and $3.50 for each child ticket. If the stadium sold a total of 65 adult and children's tickets for a total of $340, how many adult tickets were sold?

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  1. 28 May, 11:47
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    45 adult tickets were sold.

    adult tickets = a

    childrens tickets = b

    a + b = 65

    6a + 3.5b = 340

    Subtract a from the equation on top to get b = 65 - a

    Substitute into the second equation 6a + 3.5 (65 - a) = 340

    Simplify to make 6a + 227.5 - 3.5a = 340

    6a - 3.5a = 340 - 227.5

    Combine like terms so that 2.5a = 112.5

    Divide both sides by 2.5 to isolate the variable a

    Your final answer is a = 45
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