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13 October, 07:35

All 500 seats to the Friday Night Seniors' Play were sold, and a total of $3312.50 was collected. If adult ticket cost 7.50 each and Senior tickets cost $4 each, how many bills of each type were sold?

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  1. 13 October, 08:22
    0
    Yes that's right but how do we know it's not s=375 and a=124
  2. 13 October, 10:05
    0
    A + s = 500 ... a = 500 - s

    7.5a + 4s = 3312.50

    7.5 (500 - s) + 4s = 3312.50

    3750 - 7.5s + 4s = 3312.50

    -7.5s + 4s = 3312.50 - 3750

    -3.5s = - 437.50

    s = - 437.50/-3.5

    s = 125 < = = = 125 senior tickets

    a = 500 - s

    a = 500 - 125

    a = 375 < = = = 375 adult tickets
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