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7 February, 18:29

An auditorium earned $25,000 in sold-out concert ticket sales. Front section tickets cost $75 per seat and back section tickets cost $50 per seat. The number of front section seats is twice the number of back section seats. How many seats are in the front section?

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  1. 7 February, 18:40
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    B = back section, f = front section

    75f + 50b = 25,000

    f = 2b

    75 (2b) + 50b = 25,000

    150b + 50b = 25,000

    200b = 25,000

    b = 25,000/200

    b = 125

    f = 2b

    f = 2 (125)

    f = 250

    front section (f) = 250 ... back section (b) = 125
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