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16 January, 05:53

A total of 700 tickets were sold for a game for a total of $3420. If adult tickets sold for $7 each and child tickets cost $3 each, how many of each kind of ticket were sold?

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  1. 16 January, 09:47
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    330 tickets sold to adults

    370 tickets sold to children

    Explanation:

    Suppose:

    Number of Tickets

    Adult = A

    Child = C

    According to given condition

    A + C = 700 (Eq 1)

    7A + 3C = 3,420 (Eq 2)

    By multiplying (Eq 1) with 3 we get

    3A + 3C = 2,100 (Eq 3)

    By subtracting (Eq 3) from (Eq 1)

    7A + 3C - (3A + 3C) = 3,420 - 2100

    7A - 3A + 3C - 3C = 1320

    4A = 1320

    A = 1320/4

    A = 330

    Putting value of A in (Eq 1)

    330 + C = 700

    C = 700 - 330

    C = 370

    Check:

    (7x330) + (3x370) = 3420

    2310 + 1110 = 3420

    3420 = 3420
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