At the movie theatre, child admission is $5.10 and adult admission is $8.70. On Saturday, 149 tickets were sold for a total sales of $1065.9

Question

At the movie theatre, child admission is $5.10 and adult admission is $8.70. On Saturday, 149 tickets were sold for a total sales of $1065.90. How many adult tickets were sold that day?

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Khải Quang 4 years 2021-08-28T05:57:34+00:00 1 Answers 8 views 0

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  1. Philomena
    0
    2021-08-28T05:58:36+00:00
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    Answer:

    a=85

    Step-by-step explanation:

    We can write the following system of equations:

    \begin{cases}5.10c+8.70a=1065.90\\c+a=149\end{case}, where c represents the number of child tickets sold and a represents the number of adult tickets sold.

    Multiplying the second equation by -5.10 and adding both equations lets us isolate and solve for a:

    \begin{cases}5.10c+8.70a=1065.90\\-5.10c-5.10a=-759.9\end{case}\\3.6a=306,\\a=\fbox{$85$}.

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