SOLUTION: On Sunday 440 people visited a museum that charges $9 for child and $12.50 for each adult. If the museum earned $5,220 on that day, how many adults visited the museum on Sunday?

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Question 1137777: On Sunday 440 people visited a museum that charges $9 for child and $12.50 for each adult. If the museum earned $5,220 on that day, how many adults visited the museum on Sunday?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
A adults
440-A children

.
.
.
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
Let x = # of adult tickets, y = # of child tickets.


From the condition, you have these 2 equations


         x +      y = 440        (1)    (counting tickets)

   12.50*x + 9.00*y = 5220       (2)   (counting money)


From equation (1), express  y = 440 - x  and substitute it into equation (2), You will get


    12.50x + 9*(440-x) = 5220.


Express x and calculate answer


    x =  = 360.


Then from equation (1),  y = 440 - 360 = 80.


ANSWER.  360 adult tickets and 80 child tickets.


CHECK.   80*9.00 + 360*12.50 = 5220 dollars.   ! Correct !

The problem solved using 2-equation setup and the Substitution method.

--------------

It is a standard and typical ticket problem.

For ticket 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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