SOLUTION: Six hundred people attended the premiere of a motion picture. Adult tickets cost $12, and children were admitted for $9. If box office receipts totaled $6720, how many children att

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Question 1145324: Six hundred people attended the premiere of a motion picture. Adult tickets cost $12, and children were admitted for $9. If box office receipts totaled $6720, how many children attended the premiere?
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
 
Let "C" be the number of children.


Then the total revenue equation is


    12*(600-C) + 9C = 6720  dollars.


Express "C"  and calculate


    C = %286720-12%2A600%29%2F%289+-+12%29 = 160.    ANSWER


CHECK.  9*160 + (600-160)*12 = 6720 dollars.   ! Correct !

Solved.

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It is a standard tickets problem.

There are different methods of solving such problems.
Read the lessons
    - Using systems of equations to solve problems on tickets
    - Three methods for solving standard (typical) problems on tickets
in this site.

From these lessons,  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 lessons are 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.