SOLUTION: A concert manager counted 700 ticket receipts the day after a concert. The price for a student ticket was $11.50, and the price for an adult ticket was $18.00. The register confirm

Question 1154478: A concert manager counted 700 ticket receipts the day after a concert. The price for a student ticket was $11.50, and the price for an adult ticket was $18.00. The register confirms that $10,812.50 was taken in. How many student tickets and adult tickets were sold?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.


Let x = # of adult tickets;  then the # of student tickets = 700-x.


The total money equation is


    18*x + 11.50*(700-x) = 10812.50   dollars.


From the equation


    x =  = 425.


ANSWER.  425 adult tickets, and the rest, 700-425 = 275 student tickets.


CHECK.   425*18 + 275*11.50 = 10,812.50 dollars, in total.  ! Precisely correct !

Solved.

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It is a standard 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.

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