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23 October, 01:55

At a museum, adult admission is $ 13.00 and children admission is $ 7.50. During one day, a total of 1900 adult and children admissions were collected, and $ 21 comma 950 in admission fees was collected. How many adult admissions were collected?

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  1. 23 October, 05:43
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    1400 adult admissions.

    Step-by-step explanation:

    At a museum, adult admission is $13.00

    Children admission is $7.50

    During one day, a total of 1900 adult and children admissions were collected

    And $21,950 in admission fees was collected.

    Let adult admissions during that day be x,

    And children admissions be y

    The simultaneous equation formed is;

    x + y = 1900 ... (i)

    $13x + $7.50y = $21,950 ... (ii)

    Multiplying (i) by 13 and (ii) by 1 we get;

    13x + 13y = 24,700 ... (i)

    13x + 7.50y = 21,950 ... (ii)

    (i) - (ii) we get;

    5.5y = 2750

    y = 500

    So there were 500 children admissions and 1900 - 500 = 1400 adult admissions.
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