SOLUTION: The theater club sells a total of 101 tickets to its first play. A student ticket cost $1. An adult ticket costs $2.50. Total ticket sales are $164. How many student tickets were s

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Question 1162280: The theater club sells a total of 101 tickets to its first play. A student ticket cost $1. An adult ticket costs $2.50. Total ticket sales are $164. How many student tickets were sold?
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the number of student tickets.


Then the total revenue equation is


    1*x + 2.50*(101-x) = 164


in this case.


From the equation,


     x = %28164+-+2.50%2A101%29%2F%281-2.50%29 = 59.


ANSWER.  59 student tickets.

olved.

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It is a standard and typical problems "on tickets"

If you want to see more solved problems of this type, look into the lesson
    - Using systems of equations to solve problems on tickets
in this site.

Find there different methods of solutions wkth different level of exlanations.

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.