SOLUTION: A small art museum charges $5 for an adult ticket and $3 for a student ticket. At the end of the day the museum sold 81 tickets and made $371. How many of each type of ticket did

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Question 1165701: A small art museum charges $5 for an adult ticket and $3 for a student ticket. At the end of the day the museum sold 81 tickets and made $371. How many of each type of ticket did the museum sell?

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

You introduce x = the number of adult tickets.

Then the number of the student tickets is 81-x.


Then you write the total money equation


    5x + 3*(81-x) = 371 dollar.


From the equation, you get  x = %28371-3%2A81%29%2F%285-3%29 = 64.


ANSWER.  64 adult tickets and the rest, 81 - 64 = 17 are the student tickets.


CHECK.  64*5 + 17*3 = 371 total dollars.   ! Correct !

Solved.

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It is a standard and typical 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.