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30 November, 21:18

At the movie theater, tickets for children cost blank each and adult tickets cost $8.75 each. If ticket sales for a group of 35 people totaled $259, how many children were in this group?

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  1. 30 November, 23:09
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    More unknown than equations, the answer cannot be determined

    Step-by-step explanation:

    We can solve by means of a 2x2 system of equations, we have to:

    "x" is the number of children's tickets

    "y" is the number of adult tickets

    Thus:

    blank * x + 8.75 * y = 259

    x + y = 35

    which means that the number of children in the group cannot be calculated with the supplied data, this is because we have 3 unknowns and there are 2 equations, which means that the system has no solution.

    If we assume a value, for example, $ 5

    We can solve:

    5 * x + 8.75 * y = 259

    x + y = 35 = > x = 35 - y

    replacing we have:

    5 * (35 - y) + 8.75 * y = 259

    175 - 5 * y + 8.75 * y = 259

    - 5 * y + 8.75 * y = 259 - 175

    3.75 * y = 84

    y = - 84 / 3.75

    y = 22.4

    Thus:

    x = 35 - (22.4) = 12.6

    there being then 22 adults and 13 children.
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