SOLUTION: For a Saturday matinee, adult tickets cost $9.00 and kids under 12 pay only $5.00. If 45 tickets are sold for a total of $269.00 How many of the tickets were adult tickets and how

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Question 1162686: For a Saturday matinee, adult tickets cost $9.00 and kids under 12 pay only $5.00. If 45 tickets are sold for a total of $269.00 How many of the tickets were adult tickets and how many were sold to kids under 12?
Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
.

9x + 5*(45-x) = 269  dollars,  where x is the number of adult tickets.


From the equation


    x = %28269-5%2A45%29%2F%289-5%29 = 11.


ANSWER.  11 adult tickets and the rest 45-11 = 34 child tickets.


CHECK.   11*9 + 34*5 = 269 dollars.   ! Precisely 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 are lessons
    - Using systems of equations to solve problems on tickets
    - Three methods for solving standard (typical) problems on tickets
explaining and showing all basic methods of solving such problems.

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 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.