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17 October, 10:47

Admission to a baseball game is $2.00 for general admission and $3.50 for reserved seats. The receipts were $2806.00 for 1139 paid admissions. How many of each ticket were sold

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  1. 17 October, 12:18
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    There were 787 general admission and 352 reserved seat tickets sold.

    Explanation:

    Let g=general admissions, r=reserved seats

    So, g+r=1139

    So, 2.00g+3.50r=2806.00

    Solving for g in the first equation

    g=1139-r

    Replacing the value of g in the second equation

    2.00 (1139-r) + 3.50r = 2806.00

    Distribute

    2278-2.00r+3.50r = 2806.00

    2278+1.50r = 2806.00

    1.50r = 528

    So, r = 352

    Now plug in the value of r into one of the original equations

    g+352=1139

    So, g=787

    Here 787 * 2.00 + 352 * 3.50 = 2806.00

    There were 787 general admission tickets sold and 352 reserved seat tickets sold.
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