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Let x be price for a main-level seat (in dollars, of source).
The the price for the balcony seat is (x-20) dollars, according to the condition.
The equation for the revenue is
1800*x + 550*(x-20) = 97100 dollars.
From the equation, express x and calculate
x = = 46 dollars.
ANSWER. 46 dollars for each main-level seat and 46-20 = 26 dollars for each balcony seat.
CHECK. 46*1800 + 26*550 = 97100 dollars. ! Precisely correct !
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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".
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Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson
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