SOLUTION: A total of 820 tickets were sold for a game for a total of GHC 9,128.00. If adults’ tickets were sold for GHC12.00 and children were sold for GHC8.00, how many of each kind of ti

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Question 1147343: A total of 820 tickets were sold for a game for a total of GHC 9,128.00. If adults’ tickets were sold for GHC12.00 and children were sold for GHC8.00, how many of each kind of tickets were sold.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x be the number of adult tickets.


Then the number of student tickets is  (820-x).


The revenue equation is


    12x + 8*(820-x) = 9128.


From the equation, express x  and calculate


    x = %289128+-+8%2A820%29%2F%2812-8%29 = 642.


ANSWER.  642 adult tickets and  820-642 = 178 student tickets.


CHECK.   12*642 + 8*178 = 9128.    ! Precisely 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.