SOLUTION: There were 490 tickets purchased for a major league baseball game. The lower box  tickets cost ​$12.50 and the upper reserved tickets cost ​$8.00. The total amount of money

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Question 1156882: There were 490 tickets purchased for a major league baseball game. The lower box  tickets cost ​$12.50 and the upper reserved tickets cost ​$8.00. The total amount of money spent was ​$4343.00. How many of each kind of ticket were​ purchased?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Let x be the number of the lower box tickets.

Then the number of the upper box tickets is 490-x


The money equation is


    12.50*x + 8*(490-x) = 4343   dollars.


From the equation, express x and calculate

    x = %284343-8%2A490%29%2F%2812.50-8%29 = 94.


ANSWER.  94 lower box tickets and the rest, 490-94 = 396 upper reserved tickets.


CHECK.   94*12.50 + 396*8 = 4343 dollars.   ! 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.