SOLUTION: The box office at a movie theater sold 375 tickets for the evening show and collected $3,864. How many $14 adult and how many $5 child tickets were sold

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Question 1192668: The box office at a movie theater sold 375 tickets for the evening show and collected $3,864. How many $14 adult and how many $5 child tickets were sold
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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The box office at a movie theater sold 375 tickets for the evening show and collected $3,864.
How many $14 adult and how many $5 child tickets were sold
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With the number of adults "a" and the number of children (375-a), you have this total money equation

    14a + 5(375-a) = 3864    total money


From the equation

    a = %283864-5%2A375%29%2F%2814-5%29 = 221.


ANSWER.  221 adult tickets and the rest 375-221 = 154 child tickets.


CHECK.  221*14 + 154*5 = 3864,  total revenue.    ! correct !

Solved.

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It is a standard and typical tickets problem.

There are different methods of solving such problems.
In this site, there is a lesson
    - Using systems of equations to solve problems on tickets
explaining and showing different methods of solving such problems.

From this lesson,  learn on how to solve such problems once and for all.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic "Systems of two linear equations in two unknowns".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.