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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 = = 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.